-5(-4x-8)=7x-38

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Solution for -5(-4x-8)=7x-38 equation:


Simplifying
-5(-4x + -8) = 7x + -38

Reorder the terms:
-5(-8 + -4x) = 7x + -38
(-8 * -5 + -4x * -5) = 7x + -38
(40 + 20x) = 7x + -38

Reorder the terms:
40 + 20x = -38 + 7x

Solving
40 + 20x = -38 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
40 + 20x + -7x = -38 + 7x + -7x

Combine like terms: 20x + -7x = 13x
40 + 13x = -38 + 7x + -7x

Combine like terms: 7x + -7x = 0
40 + 13x = -38 + 0
40 + 13x = -38

Add '-40' to each side of the equation.
40 + -40 + 13x = -38 + -40

Combine like terms: 40 + -40 = 0
0 + 13x = -38 + -40
13x = -38 + -40

Combine like terms: -38 + -40 = -78
13x = -78

Divide each side by '13'.
x = -6

Simplifying
x = -6

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