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

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


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

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

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

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

Combine like terms: 2 + 7 = 9
9 + 5 + -6x + -5x = -6(x + -5) + -1(7x + 4) + 4

Combine like terms: 9 + 5 = 14
14 + -6x + -5x = -6(x + -5) + -1(7x + 4) + 4

Combine like terms: -6x + -5x = -11x
14 + -11x = -6(x + -5) + -1(7x + 4) + 4

Reorder the terms:
14 + -11x = -6(-5 + x) + -1(7x + 4) + 4
14 + -11x = (-5 * -6 + x * -6) + -1(7x + 4) + 4
14 + -11x = (30 + -6x) + -1(7x + 4) + 4

Reorder the terms:
14 + -11x = 30 + -6x + -1(4 + 7x) + 4
14 + -11x = 30 + -6x + (4 * -1 + 7x * -1) + 4
14 + -11x = 30 + -6x + (-4 + -7x) + 4

Reorder the terms:
14 + -11x = 30 + -4 + 4 + -6x + -7x

Combine like terms: 30 + -4 = 26
14 + -11x = 26 + 4 + -6x + -7x

Combine like terms: 26 + 4 = 30
14 + -11x = 30 + -6x + -7x

Combine like terms: -6x + -7x = -13x
14 + -11x = 30 + -13x

Solving
14 + -11x = 30 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
14 + -11x + 13x = 30 + -13x + 13x

Combine like terms: -11x + 13x = 2x
14 + 2x = 30 + -13x + 13x

Combine like terms: -13x + 13x = 0
14 + 2x = 30 + 0
14 + 2x = 30

Add '-14' to each side of the equation.
14 + -14 + 2x = 30 + -14

Combine like terms: 14 + -14 = 0
0 + 2x = 30 + -14
2x = 30 + -14

Combine like terms: 30 + -14 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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