Question

Find the solution to the following equation: -132= -4(5x-2)

Answer 1

To solve the next equation:

$-132=-4\cdot(5x-2)$

First, we need to apply the distributive property:

$-132=-4\cdot5x+8\Rightarrow-132=-20x+8$

Second, subtract 8 from both sides of the equation:

$-132-8=-20x+8-8\Rightarrow-140=-20x+0\Rightarrow-140=-20x$

To isolate x, we have to divide by -20 to both sides of the equation:

$-\frac{140}{-20}=\frac{-20}{-20}x\Rightarrow7=x\Rightarrow x=7$

Then, the solution for the equation is x = 7.