4(x+2)=8(x-1)+8

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Solution for 4(x+2)=8(x-1)+8 equation: 


Simplifying
4(x + 2) = 8(x + -1) + 8

Reorder the terms:
4(2 + x) = 8(x + -1) + 8
(2 * 4 + x * 4) = 8(x + -1) + 8
(8 + 4x) = 8(x + -1) + 8

Reorder the terms:
8 + 4x = 8(-1 + x) + 8
8 + 4x = (-1 * 8 + x * 8) + 8
8 + 4x = (-8 + 8x) + 8

Reorder the terms:
8 + 4x = -8 + 8 + 8x

Combine like terms: -8 + 8 = 0
8 + 4x = 0 + 8x
8 + 4x = 8x

Solving
8 + 4x = 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 + 4x + -8x = 8x + -8x

Combine like terms: 4x + -8x = -4x
8 + -4x = 8x + -8x

Combine like terms: 8x + -8x = 0
8 + -4x = 0

Add '-8' to each side of the equation.
8 + -8 + -4x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -4x = 0 + -8
-4x = 0 + -8

Combine like terms: 0 + -8 = -8
-4x = -8

Divide each side by '-4'.
x = 2

Simplifying
x = 2

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