-5(x-1)=2x-16

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Solution for -5(x-1)=2x-16 equation:


Simplifying
-5(x + -1) = 2x + -16

Reorder the terms:
-5(-1 + x) = 2x + -16
(-1 * -5 + x * -5) = 2x + -16
(5 + -5x) = 2x + -16

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

Solving
5 + -5x = -16 + 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 = -16 + 2x + -2x

Combine like terms: -5x + -2x = -7x
5 + -7x = -16 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + -7x = -16 + 0
5 + -7x = -16

Add '-5' to each side of the equation.
5 + -5 + -7x = -16 + -5

Combine like terms: 5 + -5 = 0
0 + -7x = -16 + -5
-7x = -16 + -5

Combine like terms: -16 + -5 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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