Solve Multi-Step Linear Equations Practice

Question

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2 of 52 of 5 Items

Question
Solve for x
. 

−2(3x−15)=60

(1 point)
x=

Answer 1

To solve the equation \(-2(3x - 15) = 60\), follow these steps:

1. Distribute \(-2\) across the expression inside the parentheses: \[ -2 \cdot 3x + -2 \cdot (-15) = 60 \] This simplifies to: \[ -6x + 30 = 60 \]

2. Next, isolate the term with \(x\) by subtracting \(30\) from both sides: \[ -6x + 30 - 30 = 60 - 30 \] Simplifying gives: \[ -6x = 30 \]

3. Now, solve for \(x\) by dividing both sides by \(-6\): \[ x = \frac{30}{-6} \] This simplifies to: \[ x = -5 \]

So the final answer is: \[ \boxed{-5} \]