Questions: Solve the equation. 15(x-8) = -8-7

Solve the equation. 15(x-8) = -8-7
Transcript text: Solve the equation. \[ 15(x-8)=-8-7 \]
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Solution

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Solution Steps

To solve the equation \(15(x-8)=-8-7\), we first simplify the right-hand side of the equation. Then, we distribute the 15 on the left-hand side. Finally, we solve for \(x\) by isolating it on one side of the equation.

Step 1: Simplify the Right-Hand Side

First, simplify the right-hand side of the equation: \[ -8 - 7 = -15 \]

Step 2: Distribute on the Left-Hand Side

Distribute the 15 on the left-hand side of the equation: \[ 15(x - 8) = 15x - 120 \]

Step 3: Set the Equation

Set the equation with the simplified right-hand side: \[ 15x - 120 = -15 \]

Step 4: Solve for \(x\)

Add 120 to both sides to isolate the term with \(x\): \[ 15x = 105 \]

Divide both sides by 15 to solve for \(x\): \[ x = \frac{105}{15} = 7 \]

Final Answer

\(\boxed{x = 7}\)

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