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

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


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

Reorder the terms:
4(1 + 4x) = 3x + -4(6 + -1x) + 8
(1 * 4 + 4x * 4) = 3x + -4(6 + -1x) + 8
(4 + 16x) = 3x + -4(6 + -1x) + 8
4 + 16x = 3x + (6 * -4 + -1x * -4) + 8
4 + 16x = 3x + (-24 + 4x) + 8

Reorder the terms:
4 + 16x = -24 + 8 + 3x + 4x

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

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

Solving
4 + 16x = -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 + 16x + -7x = -16 + 7x + -7x

Combine like terms: 16x + -7x = 9x
4 + 9x = -16 + 7x + -7x

Combine like terms: 7x + -7x = 0
4 + 9x = -16 + 0
4 + 9x = -16

Add '-4' to each side of the equation.
4 + -4 + 9x = -16 + -4

Combine like terms: 4 + -4 = 0
0 + 9x = -16 + -4
9x = -16 + -4

Combine like terms: -16 + -4 = -20
9x = -20

Divide each side by '9'.
x = -2.222222222

Simplifying
x = -2.222222222

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