x+5=2(2x-8)

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


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

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

Reorder the terms:
5 + x = 2(-8 + 2x)
5 + x = (-8 * 2 + 2x * 2)
5 + x = (-16 + 4x)

Solving
5 + x = -16 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
5 + x + -4x = -16 + 4x + -4x

Combine like terms: x + -4x = -3x
5 + -3x = -16 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + -3x = -16 + 0
5 + -3x = -16

Add '-5' to each side of the equation.
5 + -5 + -3x = -16 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = -16 + -5
-3x = -16 + -5

Combine like terms: -16 + -5 = -21
-3x = -21

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

Simplifying
x = 7

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