5[-6+2x-3(x+2)]=8(x-1)-4x-5-2

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Solution for 5[-6+2x-3(x+2)]=8(x-1)-4x-5-2 equation: 


Simplifying
5[-6 + 2x + -3(x + 2)] = 8(x + -1) + -4x + -5 + -2

Reorder the terms:
5[-6 + 2x + -3(2 + x)] = 8(x + -1) + -4x + -5 + -2
5[-6 + 2x + (2 * -3 + x * -3)] = 8(x + -1) + -4x + -5 + -2
5[-6 + 2x + (-6 + -3x)] = 8(x + -1) + -4x + -5 + -2

Reorder the terms:
5[-6 + -6 + 2x + -3x] = 8(x + -1) + -4x + -5 + -2

Combine like terms: -6 + -6 = -12
5[-12 + 2x + -3x] = 8(x + -1) + -4x + -5 + -2

Combine like terms: 2x + -3x = -1x
5[-12 + -1x] = 8(x + -1) + -4x + -5 + -2
[-12 * 5 + -1x * 5] = 8(x + -1) + -4x + -5 + -2
[-60 + -5x] = 8(x + -1) + -4x + -5 + -2

Reorder the terms:
-60 + -5x = 8(-1 + x) + -4x + -5 + -2
-60 + -5x = (-1 * 8 + x * 8) + -4x + -5 + -2
-60 + -5x = (-8 + 8x) + -4x + -5 + -2

Reorder the terms:
-60 + -5x = -8 + -5 + -2 + 8x + -4x

Combine like terms: -8 + -5 = -13
-60 + -5x = -13 + -2 + 8x + -4x

Combine like terms: -13 + -2 = -15
-60 + -5x = -15 + 8x + -4x

Combine like terms: 8x + -4x = 4x
-60 + -5x = -15 + 4x

Solving
-60 + -5x = -15 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-60 + -5x + -4x = -15 + 4x + -4x

Combine like terms: -5x + -4x = -9x
-60 + -9x = -15 + 4x + -4x

Combine like terms: 4x + -4x = 0
-60 + -9x = -15 + 0
-60 + -9x = -15

Add '60' to each side of the equation.
-60 + 60 + -9x = -15 + 60

Combine like terms: -60 + 60 = 0
0 + -9x = -15 + 60
-9x = -15 + 60

Combine like terms: -15 + 60 = 45
-9x = 45

Divide each side by '-9'.
x = -5

Simplifying
x = -5

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