-(3x-4)-(8x-8)+4=7(x-4)-(7x+6)+7

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Solution for -(3x-4)-(8x-8)+4=7(x-4)-(7x+6)+7 equation:


Simplifying
-1(3x + -4) + -1(8x + -8) + 4 = 7(x + -4) + -1(7x + 6) + 7

Reorder the terms:
-1(-4 + 3x) + -1(8x + -8) + 4 = 7(x + -4) + -1(7x + 6) + 7
(-4 * -1 + 3x * -1) + -1(8x + -8) + 4 = 7(x + -4) + -1(7x + 6) + 7
(4 + -3x) + -1(8x + -8) + 4 = 7(x + -4) + -1(7x + 6) + 7

Reorder the terms:
4 + -3x + -1(-8 + 8x) + 4 = 7(x + -4) + -1(7x + 6) + 7
4 + -3x + (-8 * -1 + 8x * -1) + 4 = 7(x + -4) + -1(7x + 6) + 7
4 + -3x + (8 + -8x) + 4 = 7(x + -4) + -1(7x + 6) + 7

Reorder the terms:
4 + 8 + 4 + -3x + -8x = 7(x + -4) + -1(7x + 6) + 7

Combine like terms: 4 + 8 = 12
12 + 4 + -3x + -8x = 7(x + -4) + -1(7x + 6) + 7

Combine like terms: 12 + 4 = 16
16 + -3x + -8x = 7(x + -4) + -1(7x + 6) + 7

Combine like terms: -3x + -8x = -11x
16 + -11x = 7(x + -4) + -1(7x + 6) + 7

Reorder the terms:
16 + -11x = 7(-4 + x) + -1(7x + 6) + 7
16 + -11x = (-4 * 7 + x * 7) + -1(7x + 6) + 7
16 + -11x = (-28 + 7x) + -1(7x + 6) + 7

Reorder the terms:
16 + -11x = -28 + 7x + -1(6 + 7x) + 7
16 + -11x = -28 + 7x + (6 * -1 + 7x * -1) + 7
16 + -11x = -28 + 7x + (-6 + -7x) + 7

Reorder the terms:
16 + -11x = -28 + -6 + 7 + 7x + -7x

Combine like terms: -28 + -6 = -34
16 + -11x = -34 + 7 + 7x + -7x

Combine like terms: -34 + 7 = -27
16 + -11x = -27 + 7x + -7x

Combine like terms: 7x + -7x = 0
16 + -11x = -27 + 0
16 + -11x = -27

Solving
16 + -11x = -27

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + -11x = -27 + -16

Combine like terms: 16 + -16 = 0
0 + -11x = -27 + -16
-11x = -27 + -16

Combine like terms: -27 + -16 = -43
-11x = -43

Divide each side by '-11'.
x = 3.909090909

Simplifying
x = 3.909090909

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