Need help with this problem: Isolate the variable: -4(2x - 7) = -36
-8x + 28 = -36
8 x = 64
x = 8
-4(2x-7)=-36
-8x+28=-36
-28 -28
-8x/-8 = -64/-8
x = 8
To isolate the variable in the equation -4(2x - 7) = -36, you can follow these steps:
Step 1: Distribute the -4 to the terms inside the parentheses:
-4 * 2x = -8x
-4 * -7 = 28
The equation becomes:
-8x + 28 = -36
Step 2: Move the constant term (28) to the other side of the equation by subtracting it from both sides:
-8x + 28 - 28 = -36 - 28
-8x = -64
Step 3: Divide both sides of the equation by the coefficient (-8) of the variable x to get it isolated:
-8x / -8 = -64 / -8
x = 8
Therefore, the variable is isolated, and the solution to the equation is x = 8.