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

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Solution for -(5x-3)-(2x-5)+5=-7(x-1)-(4x+5)+3 equation:


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

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

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

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

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

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

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

Reorder the terms:
13 + -7x = -7(-1 + x) + -1(4x + 5) + 3
13 + -7x = (-1 * -7 + x * -7) + -1(4x + 5) + 3
13 + -7x = (7 + -7x) + -1(4x + 5) + 3

Reorder the terms:
13 + -7x = 7 + -7x + -1(5 + 4x) + 3
13 + -7x = 7 + -7x + (5 * -1 + 4x * -1) + 3
13 + -7x = 7 + -7x + (-5 + -4x) + 3

Reorder the terms:
13 + -7x = 7 + -5 + 3 + -7x + -4x

Combine like terms: 7 + -5 = 2
13 + -7x = 2 + 3 + -7x + -4x

Combine like terms: 2 + 3 = 5
13 + -7x = 5 + -7x + -4x

Combine like terms: -7x + -4x = -11x
13 + -7x = 5 + -11x

Solving
13 + -7x = 5 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
13 + -7x + 11x = 5 + -11x + 11x

Combine like terms: -7x + 11x = 4x
13 + 4x = 5 + -11x + 11x

Combine like terms: -11x + 11x = 0
13 + 4x = 5 + 0
13 + 4x = 5

Add '-13' to each side of the equation.
13 + -13 + 4x = 5 + -13

Combine like terms: 13 + -13 = 0
0 + 4x = 5 + -13
4x = 5 + -13

Combine like terms: 5 + -13 = -8
4x = -8

Divide each side by '4'.
x = -2

Simplifying
x = -2

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