-5(x-1)=2(x-8)-21

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Solution for -5(x-1)=2(x-8)-21 equation:


Simplifying
-5(x + -1) = 2(x + -8) + -21

Reorder the terms:
-5(-1 + x) = 2(x + -8) + -21
(-1 * -5 + x * -5) = 2(x + -8) + -21
(5 + -5x) = 2(x + -8) + -21

Reorder the terms:
5 + -5x = 2(-8 + x) + -21
5 + -5x = (-8 * 2 + x * 2) + -21
5 + -5x = (-16 + 2x) + -21

Reorder the terms:
5 + -5x = -16 + -21 + 2x

Combine like terms: -16 + -21 = -37
5 + -5x = -37 + 2x

Solving
5 + -5x = -37 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
5 + -5x + -2x = -37 + 2x + -2x

Combine like terms: -5x + -2x = -7x
5 + -7x = -37 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + -7x = -37 + 0
5 + -7x = -37

Add '-5' to each side of the equation.
5 + -5 + -7x = -37 + -5

Combine like terms: 5 + -5 = 0
0 + -7x = -37 + -5
-7x = -37 + -5

Combine like terms: -37 + -5 = -42
-7x = -42

Divide each side by '-7'.
x = 6

Simplifying
x = 6

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