5x-7(-4x+20)=91

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Solution for 5x-7(-4x+20)=91 equation:


Simplifying
5x + -7(-4x + 20) = 91

Reorder the terms:
5x + -7(20 + -4x) = 91
5x + (20 * -7 + -4x * -7) = 91
5x + (-140 + 28x) = 91

Reorder the terms:
-140 + 5x + 28x = 91

Combine like terms: 5x + 28x = 33x
-140 + 33x = 91

Solving
-140 + 33x = 91

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '140' to each side of the equation.
-140 + 140 + 33x = 91 + 140

Combine like terms: -140 + 140 = 0
0 + 33x = 91 + 140
33x = 91 + 140

Combine like terms: 91 + 140 = 231
33x = 231

Divide each side by '33'.
x = 7

Simplifying
x = 7

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