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:

`-(140)/(-20)=(-20)/(-20)x\Rightarrow7=x\Rightarrow x=7`

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