4(x+1)=3x-4(6-x)+8

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Solution for 4(x+1)=3x-4(6-x)+8 equation: 


Simplifying
4(x + 1) = 3x + -4(6 + -1x) + 8

Reorder the terms:
4(1 + x) = 3x + -4(6 + -1x) + 8
(1 * 4 + x * 4) = 3x + -4(6 + -1x) + 8
(4 + 4x) = 3x + -4(6 + -1x) + 8
4 + 4x = 3x + (6 * -4 + -1x * -4) + 8
4 + 4x = 3x + (-24 + 4x) + 8

Reorder the terms:
4 + 4x = -24 + 8 + 3x + 4x

Combine like terms: -24 + 8 = -16
4 + 4x = -16 + 3x + 4x

Combine like terms: 3x + 4x = 7x
4 + 4x = -16 + 7x

Solving
4 + 4x = -16 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
4 + 4x + -7x = -16 + 7x + -7x

Combine like terms: 4x + -7x = -3x
4 + -3x = -16 + 7x + -7x

Combine like terms: 7x + -7x = 0
4 + -3x = -16 + 0
4 + -3x = -16

Add '-4' to each side of the equation.
4 + -4 + -3x = -16 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = -16 + -4
-3x = -16 + -4

Combine like terms: -16 + -4 = -20
-3x = -20

Divide each side by '-3'.
x = 6.666666667

Simplifying
x = 6.666666667

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