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

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

Combine like terms: 4 + -1 = 3
3 + -4x = 3x + -4(6 + -1x) + 8
3 + -4x = 3x + (6 * -4 + -1x * -4) + 8
3 + -4x = 3x + (-24 + 4x) + 8

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

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

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

Solving
3 + -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.
3 + -4x + -7x = -16 + 7x + -7x

Combine like terms: -4x + -7x = -11x
3 + -11x = -16 + 7x + -7x

Combine like terms: 7x + -7x = 0
3 + -11x = -16 + 0
3 + -11x = -16

Add '-3' to each side of the equation.
3 + -3 + -11x = -16 + -3

Combine like terms: 3 + -3 = 0
0 + -11x = -16 + -3
-11x = -16 + -3

Combine like terms: -16 + -3 = -19
-11x = -19

Divide each side by '-11'.
x = 1.727272727

Simplifying
x = 1.727272727

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