Solved on Mar 06, 2024

Solve the linear equation $5x + 3.5 = -1.5$ .

STEP 1

Assumptions
1. We are given a linear equation in one variable: $5x + 3.5 = -1.5$ .
2. We need to solve for $x$ .

STEP 2

To isolate the variable $x$ , we first need to eliminate the constant term on the left side of the equation. We do this by subtracting $3.5$ from both sides of the equation.
$5x + 3.5 - 3.5 = -1.5 - 3.5$

STEP 3

Perform the subtraction on both sides to simplify the equation.
$5x = -1.5 - 3.5$

STEP 4

Combine the numerical values on the right side of the equation.
$5x = -5$

STEP 5

Now, to solve for $x$ , we need to divide both sides of the equation by the coefficient of $x$ , which is $5$ .
$\frac{5x}{5} = \frac{-5}{5}$

STEP 6

Perform the division on both sides to isolate $x$ .
$x = -1$
The solution to the equation $5x + 3.5 = -1.5$ is $x = -1$ .

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Solve the linear equation $5x + 3.5 = -1.5$ .

STEP 1

Assumptions
1. We are given a linear equation in one variable: $5x + 3.5 = -1.5$ .
2. We need to solve for $x$ .

STEP 2

To isolate the variable $x$ , we first need to eliminate the constant term on the left side of the equation. We do this by subtracting $3.5$ from both sides of the equation.
$5x + 3.5 - 3.5 = -1.5 - 3.5$

STEP 3

Perform the subtraction on both sides to simplify the equation.
$5x = -1.5 - 3.5$

STEP 4

Combine the numerical values on the right side of the equation.
$5x = -5$

STEP 5

Now, to solve for $x$ , we need to divide both sides of the equation by the coefficient of $x$ , which is $5$ .
$\frac{5x}{5} = \frac{-5}{5}$

STEP 6

Perform the division on both sides to isolate $x$ .
$x = -1$
The solution to the equation $5x + 3.5 = -1.5$ is $x = -1$ .

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Solve the linear equation 5x+3.5=−1.55x + 3.5 = -1.55x+3.5=−1.5.

STEP 1

Assumptions1. We are given a linear equation in one variable: 5x+3.5=−1.55x + 3.5 = -1.55x+3.5=−1.5.2. We need to solve for xxx.

STEP 2

To isolate the variable xxx, we first need to eliminate the constant term on the left side of the equation. We do this by subtracting 3.53.53.5 from both sides of the equation.5x+3.5−3.5=−1.5−3.55x + 3.5 - 3.5 = -1.5 - 3.55x+3.5−3.5=−1.5−3.5

STEP 3

Perform the subtraction on both sides to simplify the equation.5x=−1.5−3.55x = -1.5 - 3.55x=−1.5−3.5

STEP 4

Combine the numerical values on the right side of the equation.5x=−55x = -55x=−5

STEP 5

Now, to solve for xxx, we need to divide both sides of the equation by the coefficient of xxx, which is 555.5x5=−55\frac{5x}{5} = \frac{-5}{5}55x​=5−5​

STEP 6

Perform the division on both sides to isolate xxx.x=−1x = -1x=−1The solution to the equation 5x+3.5=−1.55x + 3.5 = -1.55x+3.5=−1.5 is x=−1x = -1x=−1.

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

Solve the linear equation $5x + 3.5 = -1.5$ .

Assumptions
1. We are given a linear equation in one variable: $5x + 3.5 = -1.5$ .
2. We need to solve for $x$ .

To isolate the variable $x$ , we first need to eliminate the constant term on the left side of the equation. We do this by subtracting $3.5$ from both sides of the equation.
$5x + 3.5 - 3.5 = -1.5 - 3.5$

Perform the subtraction on both sides to simplify the equation.
$5x = -1.5 - 3.5$

Combine the numerical values on the right side of the equation.
$5x = -5$

Now, to solve for $x$ , we need to divide both sides of the equation by the coefficient of $x$ , which is $5$ .
$\frac{5x}{5} = \frac{-5}{5}$

Perform the division on both sides to isolate $x$ .
$x = -1$
The solution to the equation $5x + 3.5 = -1.5$ is $x = -1$ .