-5[2-(x-5)]=-2-3[2+(-4)(x+1)]+3

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


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

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

Combine like terms: 2 + 5 = 7
-5[7 + -1x] = -2 + -3[2 + (-4)(x + 1)] + 3
[7 * -5 + -1x * -5] = -2 + -3[2 + (-4)(x + 1)] + 3
[-35 + 5x] = -2 + -3[2 + (-4)(x + 1)] + 3

Reorder the terms:
-35 + 5x = -2 + -3[2 + -4(1 + x)] + 3
-35 + 5x = -2 + -3[2 + (1 * -4 + x * -4)] + 3
-35 + 5x = -2 + -3[2 + (-4 + -4x)] + 3

Combine like terms: 2 + -4 = -2
-35 + 5x = -2 + -3[-2 + -4x] + 3
-35 + 5x = -2 + [-2 * -3 + -4x * -3] + 3
-35 + 5x = -2 + [6 + 12x] + 3

Reorder the terms:
-35 + 5x = -2 + 6 + 3 + 12x

Combine like terms: -2 + 6 = 4
-35 + 5x = 4 + 3 + 12x

Combine like terms: 4 + 3 = 7
-35 + 5x = 7 + 12x

Solving
-35 + 5x = 7 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-35 + 5x + -12x = 7 + 12x + -12x

Combine like terms: 5x + -12x = -7x
-35 + -7x = 7 + 12x + -12x

Combine like terms: 12x + -12x = 0
-35 + -7x = 7 + 0
-35 + -7x = 7

Add '35' to each side of the equation.
-35 + 35 + -7x = 7 + 35

Combine like terms: -35 + 35 = 0
0 + -7x = 7 + 35
-7x = 7 + 35

Combine like terms: 7 + 35 = 42
-7x = 42

Divide each side by '-7'.
x = -6

Simplifying
x = -6

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