-2(3x - 15) = 60
x = __
3 answers
To solve the equation \(-2(3x - 15) = 60\), we start by distributing the \(-2\) on the left side:
\[ -2 \cdot 3x + -2 \cdot (-15) = 60 \]
This simplifies to:
\[ -6x + 30 = 60 \]
Next, we isolate the term with \(x\) by subtracting \(30\) from both sides:
\[ -6x = 60 - 30 \] \[ -6x = 30 \]
Now, we divide both sides by \(-6\):
\[ x = \frac{30}{-6} \] \[ x = -5 \]
Thus, the solution is:
\[ x = -5 \]
Let's double-check the solution step by step for the equation \(-2(3x - 15) = 60\).
Start with the original equation: \[ -2(3x - 15) = 60 \]
Distribute the \(-2\): \[ -2 \cdot 3x + -2 \cdot (-15) = 60 \] This results in: \[ -6x + 30 = 60 \]
Next, isolate the term with \(x\) by subtracting \(30\) from both sides: \[ -6x = 60 - 30 \] This simplifies to: \[ -6x = 30 \]
Now, divide both sides by \(-6\): \[ x = \frac{30}{-6} \] This simplifies to: \[ x = -5 \]
The calculations are correct, and the final answer is indeed: \[ x = -5 \]
If you have any further questions or need additional clarification, feel free to ask!
