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−2(3x−15)=60

−
2
(
3
x
−
15
)
=
60

(1 point

1 answer

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

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

  2. Next, we'll isolate the \(x\) term by subtracting \(30\) from both sides: \[ -6x + 30 - 30 = 60 - 30 \] This simplifies to: \[ -6x = 30 \]

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

So the solution to the equation \(-2(3x - 15) = 60\) is \(x = -5\).