2x+8=8(x-5)

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


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

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

Reorder the terms:
8 + 2x = 8(-5 + x)
8 + 2x = (-5 * 8 + x * 8)
8 + 2x = (-40 + 8x)

Solving
8 + 2x = -40 + 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 + 2x + -8x = -40 + 8x + -8x

Combine like terms: 2x + -8x = -6x
8 + -6x = -40 + 8x + -8x

Combine like terms: 8x + -8x = 0
8 + -6x = -40 + 0
8 + -6x = -40

Add '-8' to each side of the equation.
8 + -8 + -6x = -40 + -8

Combine like terms: 8 + -8 = 0
0 + -6x = -40 + -8
-6x = -40 + -8

Combine like terms: -40 + -8 = -48
-6x = -48

Divide each side by '-6'.
x = 8

Simplifying
x = 8

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