Math / Algebra

Question $3 x+18=5 x+12$

Studdy Solution

STEP 1

1. The equation $3x + 18 = 5x + 12$ is a linear equation in one variable, $x$ .
2. The goal is to solve for $x$ by isolating it on one side of the equation.

STEP 2

1. Simplify the equation by moving all terms involving $x$ to one side.
2. Move all constant terms to the other side.
3. Combine like terms.
4. Solve for $x$ .

STEP 3

Subtract $3x$ from both sides of the equation to begin isolating $x$ .
$3x + 18 - 3x = 5x + 12 - 3x$

STEP 4

Simplify the equation by combining like terms on both sides.
$18 = 2x + 12$

STEP 5

Subtract $12$ from both sides to isolate the $2x$ term.
$18 - 12 = 2x + 12 - 12$

STEP 6

Simplify the equation by combining like terms.
$6 = 2x$

STEP 7

Divide both sides of the equation by $2$ to solve for $x$ .
$\frac{6}{2} = \frac{2x}{2}$

STEP 8

Simplify the equation.
$3 = x$
Solution: $x = 3$

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Question $3 x+18=5 x+12$

Studdy Solution

STEP 1

1. The equation $3x + 18 = 5x + 12$ is a linear equation in one variable, $x$ .
2. The goal is to solve for $x$ by isolating it on one side of the equation.

STEP 2

1. Simplify the equation by moving all terms involving $x$ to one side.
2. Move all constant terms to the other side.
3. Combine like terms.
4. Solve for $x$ .

STEP 3

Subtract $3x$ from both sides of the equation to begin isolating $x$ .
$3x + 18 - 3x = 5x + 12 - 3x$

STEP 4

Simplify the equation by combining like terms on both sides.
$18 = 2x + 12$

STEP 5

Subtract $12$ from both sides to isolate the $2x$ term.
$18 - 12 = 2x + 12 - 12$

STEP 6

Simplify the equation by combining like terms.
$6 = 2x$

STEP 7

Divide both sides of the equation by $2$ to solve for $x$ .
$\frac{6}{2} = \frac{2x}{2}$

STEP 8

Simplify the equation.
$3 = x$
Solution: $x = 3$

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Question3x+18=5x+123 x+18=5 x+123x+18=5x+12

Studdy Solution

STEP 1

1. The equation 3x+18=5x+123x + 18 = 5x + 123x+18=5x+12 is a linear equation in one variable, xxx.2. The goal is to solve for xxx by isolating it on one side of the equation.

STEP 2

1. Simplify the equation by moving all terms involving xxx to one side.2. Move all constant terms to the other side.3. Combine like terms.4. Solve for xxx.

STEP 3

Subtract 3x3x3x from both sides of the equation to begin isolating xxx.3x+18−3x=5x+12−3x 3x + 18 - 3x = 5x + 12 - 3x 3x+18−3x=5x+12−3x

STEP 4

Simplify the equation by combining like terms on both sides.18=2x+12 18 = 2x + 12 18=2x+12

STEP 5

Subtract 121212 from both sides to isolate the 2x2x2x term.18−12=2x+12−12 18 - 12 = 2x + 12 - 12 18−12=2x+12−12

STEP 6

Simplify the equation by combining like terms.6=2x 6 = 2x 6=2x

STEP 7

Divide both sides of the equation by 222 to solve for xxx.62=2x2 \frac{6}{2} = \frac{2x}{2} 26​=22x​

STEP 8

Simplify the equation.3=x 3 = x 3=xSolution: x=3 x = 3 x=3

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Question $3 x+18=5 x+12$

1. The equation $3x + 18 = 5x + 12$ is a linear equation in one variable, $x$ .
2. The goal is to solve for $x$ by isolating it on one side of the equation.

1. Simplify the equation by moving all terms involving $x$ to one side.
2. Move all constant terms to the other side.
3. Combine like terms.
4. Solve for $x$ .

Subtract $3x$ from both sides of the equation to begin isolating $x$ .
$3x + 18 - 3x = 5x + 12 - 3x$

Simplify the equation by combining like terms on both sides.
$18 = 2x + 12$

Subtract $12$ from both sides to isolate the $2x$ term.
$18 - 12 = 2x + 12 - 12$

Simplify the equation by combining like terms.
$6 = 2x$

Divide both sides of the equation by $2$ to solve for $x$ .
$\frac{6}{2} = \frac{2x}{2}$

Simplify the equation.
$3 = x$
Solution: $x = 3$