x-(2x-5(x-3(x-1)))-4(-x-2)=-15x+7

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Solution for x-(2x-5(x-3(x-1)))-4(-x-2)=-15x+7 equation: 


Simplifying
x + -1(2x + -5(x + -3(x + -1))) + -4(-1x + -2) = -15x + 7

Reorder the terms:
x + -1(2x + -5(x + -3(-1 + x))) + -4(-1x + -2) = -15x + 7
x + -1(2x + -5(x + (-1 * -3 + x * -3))) + -4(-1x + -2) = -15x + 7
x + -1(2x + -5(x + (3 + -3x))) + -4(-1x + -2) = -15x + 7

Reorder the terms:
x + -1(2x + -5(3 + x + -3x)) + -4(-1x + -2) = -15x + 7

Combine like terms: x + -3x = -2x
x + -1(2x + -5(3 + -2x)) + -4(-1x + -2) = -15x + 7
x + -1(2x + (3 * -5 + -2x * -5)) + -4(-1x + -2) = -15x + 7
x + -1(2x + (-15 + 10x)) + -4(-1x + -2) = -15x + 7

Reorder the terms:
x + -1(-15 + 2x + 10x) + -4(-1x + -2) = -15x + 7

Combine like terms: 2x + 10x = 12x
x + -1(-15 + 12x) + -4(-1x + -2) = -15x + 7
x + (-15 * -1 + 12x * -1) + -4(-1x + -2) = -15x + 7
x + (15 + -12x) + -4(-1x + -2) = -15x + 7

Reorder the terms:
x + 15 + -12x + -4(-2 + -1x) = -15x + 7
x + 15 + -12x + (-2 * -4 + -1x * -4) = -15x + 7
x + 15 + -12x + (8 + 4x) = -15x + 7

Reorder the terms:
15 + 8 + x + -12x + 4x = -15x + 7

Combine like terms: 15 + 8 = 23
23 + x + -12x + 4x = -15x + 7

Combine like terms: x + -12x = -11x
23 + -11x + 4x = -15x + 7

Combine like terms: -11x + 4x = -7x
23 + -7x = -15x + 7

Reorder the terms:
23 + -7x = 7 + -15x

Solving
23 + -7x = 7 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
23 + -7x + 15x = 7 + -15x + 15x

Combine like terms: -7x + 15x = 8x
23 + 8x = 7 + -15x + 15x

Combine like terms: -15x + 15x = 0
23 + 8x = 7 + 0
23 + 8x = 7

Add '-23' to each side of the equation.
23 + -23 + 8x = 7 + -23

Combine like terms: 23 + -23 = 0
0 + 8x = 7 + -23
8x = 7 + -23

Combine like terms: 7 + -23 = -16
8x = -16

Divide each side by '8'.
x = -2

Simplifying
x = -2

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