-(6x-4)-(2x-8)+8=4(x-9)-(7x+6)+4

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Solution for -(6x-4)-(2x-8)+8=4(x-9)-(7x+6)+4 equation:


Simplifying
-1(6x + -4) + -1(2x + -8) + 8 = 4(x + -9) + -1(7x + 6) + 4

Reorder the terms:
-1(-4 + 6x) + -1(2x + -8) + 8 = 4(x + -9) + -1(7x + 6) + 4
(-4 * -1 + 6x * -1) + -1(2x + -8) + 8 = 4(x + -9) + -1(7x + 6) + 4
(4 + -6x) + -1(2x + -8) + 8 = 4(x + -9) + -1(7x + 6) + 4

Reorder the terms:
4 + -6x + -1(-8 + 2x) + 8 = 4(x + -9) + -1(7x + 6) + 4
4 + -6x + (-8 * -1 + 2x * -1) + 8 = 4(x + -9) + -1(7x + 6) + 4
4 + -6x + (8 + -2x) + 8 = 4(x + -9) + -1(7x + 6) + 4

Reorder the terms:
4 + 8 + 8 + -6x + -2x = 4(x + -9) + -1(7x + 6) + 4

Combine like terms: 4 + 8 = 12
12 + 8 + -6x + -2x = 4(x + -9) + -1(7x + 6) + 4

Combine like terms: 12 + 8 = 20
20 + -6x + -2x = 4(x + -9) + -1(7x + 6) + 4

Combine like terms: -6x + -2x = -8x
20 + -8x = 4(x + -9) + -1(7x + 6) + 4

Reorder the terms:
20 + -8x = 4(-9 + x) + -1(7x + 6) + 4
20 + -8x = (-9 * 4 + x * 4) + -1(7x + 6) + 4
20 + -8x = (-36 + 4x) + -1(7x + 6) + 4

Reorder the terms:
20 + -8x = -36 + 4x + -1(6 + 7x) + 4
20 + -8x = -36 + 4x + (6 * -1 + 7x * -1) + 4
20 + -8x = -36 + 4x + (-6 + -7x) + 4

Reorder the terms:
20 + -8x = -36 + -6 + 4 + 4x + -7x

Combine like terms: -36 + -6 = -42
20 + -8x = -42 + 4 + 4x + -7x

Combine like terms: -42 + 4 = -38
20 + -8x = -38 + 4x + -7x

Combine like terms: 4x + -7x = -3x
20 + -8x = -38 + -3x

Solving
20 + -8x = -38 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
20 + -8x + 3x = -38 + -3x + 3x

Combine like terms: -8x + 3x = -5x
20 + -5x = -38 + -3x + 3x

Combine like terms: -3x + 3x = 0
20 + -5x = -38 + 0
20 + -5x = -38

Add '-20' to each side of the equation.
20 + -20 + -5x = -38 + -20

Combine like terms: 20 + -20 = 0
0 + -5x = -38 + -20
-5x = -38 + -20

Combine like terms: -38 + -20 = -58
-5x = -58

Divide each side by '-5'.
x = 11.6

Simplifying
x = 11.6

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