5x+8=2(4x-8)

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Solution for 5x+8=2(4x-8) equation:


Simplifying
5x + 8 = 2(4x + -8)

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

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

Solving
8 + 5x = -16 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
8 + 5x + -8x = -16 + 8x + -8x

Combine like terms: 5x + -8x = -3x
8 + -3x = -16 + 8x + -8x

Combine like terms: 8x + -8x = 0
8 + -3x = -16 + 0
8 + -3x = -16

Add '-8' to each side of the equation.
8 + -8 + -3x = -16 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = -16 + -8
-3x = -16 + -8

Combine like terms: -16 + -8 = -24
-3x = -24

Divide each side by '-3'.
x = 8

Simplifying
x = 8

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