4-3(x-4)=x+8

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Solution for 4-3(x-4)=x+8 equation: 


Simplifying
4 + -3(x + -4) = x + 8

Reorder the terms:
4 + -3(-4 + x) = x + 8
4 + (-4 * -3 + x * -3) = x + 8
4 + (12 + -3x) = x + 8

Combine like terms: 4 + 12 = 16
16 + -3x = x + 8

Reorder the terms:
16 + -3x = 8 + x

Solving
16 + -3x = 8 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
16 + -3x + -1x = 8 + x + -1x

Combine like terms: -3x + -1x = -4x
16 + -4x = 8 + x + -1x

Combine like terms: x + -1x = 0
16 + -4x = 8 + 0
16 + -4x = 8

Add '-16' to each side of the equation.
16 + -16 + -4x = 8 + -16

Combine like terms: 16 + -16 = 0
0 + -4x = 8 + -16
-4x = 8 + -16

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

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

Simplifying
x = 2

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