Math / Algebra

QuestionSolve the equation. * $3 x+8=2$ $x=-4$ $x=-2$ $x=2$ $x=4$

Studdy Solution

STEP 1

1. The equation $3x + 8 = 2$ is a linear equation in one variable.
2. We need to solve for $x$ and determine which of the given options is the correct solution.
3. The possible solutions provided are $x = -4$ , $x = -2$ , $x = 2$ , and $x = 4$ .

STEP 2

1. Isolate the variable $x$ by performing algebraic operations.
2. Simplify the equation to find the value of $x$ .
3. Verify the solution by checking which option matches the calculated value.

STEP 3

To isolate $x$ , we first need to eliminate the constant term on the left side of the equation. Subtract 8 from both sides:
$3x + 8 - 8 = 2 - 8$

STEP 4

Simplify both sides:
$3x = -6$

STEP 5

Now, divide both sides by 3 to solve for $x$ :
$\frac{3x}{3} = \frac{-6}{3}$

STEP 6

Simplify the equation:
$x = -2$

STEP 7

Verify the solution by checking which option matches the calculated value:
The calculated value is $x = -2$ , which matches the option $x = -2$ .
Therefore, the correct solution is:
$\boxed{-2}$

Was this helpful?

QuestionSolve the equation. * $3 x+8=2$ $x=-4$ $x=-2$ $x=2$ $x=4$

Studdy Solution

STEP 1

1. The equation $3x + 8 = 2$ is a linear equation in one variable.
2. We need to solve for $x$ and determine which of the given options is the correct solution.
3. The possible solutions provided are $x = -4$ , $x = -2$ , $x = 2$ , and $x = 4$ .

STEP 2

1. Isolate the variable $x$ by performing algebraic operations.
2. Simplify the equation to find the value of $x$ .
3. Verify the solution by checking which option matches the calculated value.

STEP 3

To isolate $x$ , we first need to eliminate the constant term on the left side of the equation. Subtract 8 from both sides:
$3x + 8 - 8 = 2 - 8$

STEP 4

Simplify both sides:
$3x = -6$

STEP 5

Now, divide both sides by 3 to solve for $x$ :
$\frac{3x}{3} = \frac{-6}{3}$

STEP 6

Simplify the equation:
$x = -2$

STEP 7

Verify the solution by checking which option matches the calculated value:
The calculated value is $x = -2$ , which matches the option $x = -2$ .
Therefore, the correct solution is:
$\boxed{-2}$

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSolve the equation. * 3x+8=23 x+8=23x+8=2 x=−4x=-4x=−4 x=−2x=-2x=−2 x=2x=2x=2 x=4x=4x=4

Studdy Solution

STEP 1

1. The equation 3x+8=2 3x + 8 = 2 3x+8=2 is a linear equation in one variable.2. We need to solve for x x x and determine which of the given options is the correct solution.3. The possible solutions provided are x=−4 x = -4 x=−4, x=−2 x = -2 x=−2, x=2 x = 2 x=2, and x=4 x = 4 x=4.

STEP 2

1. Isolate the variable x x x by performing algebraic operations.2. Simplify the equation to find the value of x x x.3. Verify the solution by checking which option matches the calculated value.

STEP 3

To isolate x x x, we first need to eliminate the constant term on the left side of the equation. Subtract 8 from both sides:3x+8−8=2−8 3x + 8 - 8 = 2 - 8 3x+8−8=2−8

STEP 4

Simplify both sides:3x=−6 3x = -6 3x=−6

STEP 5

Now, divide both sides by 3 to solve for x x x:3x3=−63 \frac{3x}{3} = \frac{-6}{3} 33x​=3−6​

STEP 6

Simplify the equation:x=−2 x = -2 x=−2

STEP 7

Verify the solution by checking which option matches the calculated value:The calculated value is x=−2 x = -2 x=−2, which matches the option x=−2 x = -2 x=−2.Therefore, the correct solution is:−2 \boxed{-2} −2​

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSolve the equation. * $3 x+8=2$ $x=-4$ $x=-2$ $x=2$ $x=4$

1. The equation $3x + 8 = 2$ is a linear equation in one variable.
2. We need to solve for $x$ and determine which of the given options is the correct solution.
3. The possible solutions provided are $x = -4$ , $x = -2$ , $x = 2$ , and $x = 4$ .

1. Isolate the variable $x$ by performing algebraic operations.
2. Simplify the equation to find the value of $x$ .
3. Verify the solution by checking which option matches the calculated value.

To isolate $x$ , we first need to eliminate the constant term on the left side of the equation. Subtract 8 from both sides:
$3x + 8 - 8 = 2 - 8$

Simplify both sides:
$3x = -6$

Now, divide both sides by 3 to solve for $x$ :
$\frac{3x}{3} = \frac{-6}{3}$

Simplify the equation:
$x = -2$

Verify the solution by checking which option matches the calculated value:
The calculated value is $x = -2$ , which matches the option $x = -2$ .
Therefore, the correct solution is:
$\boxed{-2}$