25-[2+5x-3(x+2)]=-3(2x-5)-[5(x-1)-3x+3]

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Solution for 25-[2+5x-3(x+2)]=-3(2x-5)-[5(x-1)-3x+3] equation:


Simplifying
25 + -1[2 + 5x + -3(x + 2)] = -3(2x + -5) + -1[5(x + -1) + -3x + 3]

Reorder the terms:
25 + -1[2 + 5x + -3(2 + x)] = -3(2x + -5) + -1[5(x + -1) + -3x + 3]
25 + -1[2 + 5x + (2 * -3 + x * -3)] = -3(2x + -5) + -1[5(x + -1) + -3x + 3]
25 + -1[2 + 5x + (-6 + -3x)] = -3(2x + -5) + -1[5(x + -1) + -3x + 3]

Reorder the terms:
25 + -1[2 + -6 + 5x + -3x] = -3(2x + -5) + -1[5(x + -1) + -3x + 3]

Combine like terms: 2 + -6 = -4
25 + -1[-4 + 5x + -3x] = -3(2x + -5) + -1[5(x + -1) + -3x + 3]

Combine like terms: 5x + -3x = 2x
25 + -1[-4 + 2x] = -3(2x + -5) + -1[5(x + -1) + -3x + 3]
25 + [-4 * -1 + 2x * -1] = -3(2x + -5) + -1[5(x + -1) + -3x + 3]
25 + [4 + -2x] = -3(2x + -5) + -1[5(x + -1) + -3x + 3]

Combine like terms: 25 + 4 = 29
29 + -2x = -3(2x + -5) + -1[5(x + -1) + -3x + 3]

Reorder the terms:
29 + -2x = -3(-5 + 2x) + -1[5(x + -1) + -3x + 3]
29 + -2x = (-5 * -3 + 2x * -3) + -1[5(x + -1) + -3x + 3]
29 + -2x = (15 + -6x) + -1[5(x + -1) + -3x + 3]

Reorder the terms:
29 + -2x = 15 + -6x + -1[5(-1 + x) + -3x + 3]
29 + -2x = 15 + -6x + -1[(-1 * 5 + x * 5) + -3x + 3]
29 + -2x = 15 + -6x + -1[(-5 + 5x) + -3x + 3]

Reorder the terms:
29 + -2x = 15 + -6x + -1[-5 + 3 + 5x + -3x]

Combine like terms: -5 + 3 = -2
29 + -2x = 15 + -6x + -1[-2 + 5x + -3x]

Combine like terms: 5x + -3x = 2x
29 + -2x = 15 + -6x + -1[-2 + 2x]
29 + -2x = 15 + -6x + [-2 * -1 + 2x * -1]
29 + -2x = 15 + -6x + [2 + -2x]

Reorder the terms:
29 + -2x = 15 + 2 + -6x + -2x

Combine like terms: 15 + 2 = 17
29 + -2x = 17 + -6x + -2x

Combine like terms: -6x + -2x = -8x
29 + -2x = 17 + -8x

Solving
29 + -2x = 17 + -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.
29 + -2x + 8x = 17 + -8x + 8x

Combine like terms: -2x + 8x = 6x
29 + 6x = 17 + -8x + 8x

Combine like terms: -8x + 8x = 0
29 + 6x = 17 + 0
29 + 6x = 17

Add '-29' to each side of the equation.
29 + -29 + 6x = 17 + -29

Combine like terms: 29 + -29 = 0
0 + 6x = 17 + -29
6x = 17 + -29

Combine like terms: 17 + -29 = -12
6x = -12

Divide each side by '6'.
x = -2

Simplifying
x = -2

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