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

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


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

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

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

Reorder the terms:
4 + 4x = -16 + 8 + 8x

Combine like terms: -16 + 8 = -8
4 + 4x = -8 + 8x

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

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

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

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

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

Combine like terms: -8 + -4 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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