-(2x-7)-(4x-6)+4=-5(x-8)-(3x+3)+3

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Solution for -(2x-7)-(4x-6)+4=-5(x-8)-(3x+3)+3 equation:


Simplifying
-1(2x + -7) + -1(4x + -6) + 4 = -5(x + -8) + -1(3x + 3) + 3

Reorder the terms:
-1(-7 + 2x) + -1(4x + -6) + 4 = -5(x + -8) + -1(3x + 3) + 3
(-7 * -1 + 2x * -1) + -1(4x + -6) + 4 = -5(x + -8) + -1(3x + 3) + 3
(7 + -2x) + -1(4x + -6) + 4 = -5(x + -8) + -1(3x + 3) + 3

Reorder the terms:
7 + -2x + -1(-6 + 4x) + 4 = -5(x + -8) + -1(3x + 3) + 3
7 + -2x + (-6 * -1 + 4x * -1) + 4 = -5(x + -8) + -1(3x + 3) + 3
7 + -2x + (6 + -4x) + 4 = -5(x + -8) + -1(3x + 3) + 3

Reorder the terms:
7 + 6 + 4 + -2x + -4x = -5(x + -8) + -1(3x + 3) + 3

Combine like terms: 7 + 6 = 13
13 + 4 + -2x + -4x = -5(x + -8) + -1(3x + 3) + 3

Combine like terms: 13 + 4 = 17
17 + -2x + -4x = -5(x + -8) + -1(3x + 3) + 3

Combine like terms: -2x + -4x = -6x
17 + -6x = -5(x + -8) + -1(3x + 3) + 3

Reorder the terms:
17 + -6x = -5(-8 + x) + -1(3x + 3) + 3
17 + -6x = (-8 * -5 + x * -5) + -1(3x + 3) + 3
17 + -6x = (40 + -5x) + -1(3x + 3) + 3

Reorder the terms:
17 + -6x = 40 + -5x + -1(3 + 3x) + 3
17 + -6x = 40 + -5x + (3 * -1 + 3x * -1) + 3
17 + -6x = 40 + -5x + (-3 + -3x) + 3

Reorder the terms:
17 + -6x = 40 + -3 + 3 + -5x + -3x

Combine like terms: 40 + -3 = 37
17 + -6x = 37 + 3 + -5x + -3x

Combine like terms: 37 + 3 = 40
17 + -6x = 40 + -5x + -3x

Combine like terms: -5x + -3x = -8x
17 + -6x = 40 + -8x

Solving
17 + -6x = 40 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
17 + -6x + 8x = 40 + -8x + 8x

Combine like terms: -6x + 8x = 2x
17 + 2x = 40 + -8x + 8x

Combine like terms: -8x + 8x = 0
17 + 2x = 40 + 0
17 + 2x = 40

Add '-17' to each side of the equation.
17 + -17 + 2x = 40 + -17

Combine like terms: 17 + -17 = 0
0 + 2x = 40 + -17
2x = 40 + -17

Combine like terms: 40 + -17 = 23
2x = 23

Divide each side by '2'.
x = 11.5

Simplifying
x = 11.5

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