5-2[x-2(x-1)]=55-4[x-3(x+2)]

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Solution for 5-2[x-2(x-1)]=55-4[x-3(x+2)] equation: 


Simplifying
5 + -2[x + -2(x + -1)] = 55 + -4[x + -3(x + 2)]

Reorder the terms:
5 + -2[x + -2(-1 + x)] = 55 + -4[x + -3(x + 2)]
5 + -2[x + (-1 * -2 + x * -2)] = 55 + -4[x + -3(x + 2)]
5 + -2[x + (2 + -2x)] = 55 + -4[x + -3(x + 2)]

Reorder the terms:
5 + -2[2 + x + -2x] = 55 + -4[x + -3(x + 2)]

Combine like terms: x + -2x = -1x
5 + -2[2 + -1x] = 55 + -4[x + -3(x + 2)]
5 + [2 * -2 + -1x * -2] = 55 + -4[x + -3(x + 2)]
5 + [-4 + 2x] = 55 + -4[x + -3(x + 2)]

Combine like terms: 5 + -4 = 1
1 + 2x = 55 + -4[x + -3(x + 2)]

Reorder the terms:
1 + 2x = 55 + -4[x + -3(2 + x)]
1 + 2x = 55 + -4[x + (2 * -3 + x * -3)]
1 + 2x = 55 + -4[x + (-6 + -3x)]

Reorder the terms:
1 + 2x = 55 + -4[-6 + x + -3x]

Combine like terms: x + -3x = -2x
1 + 2x = 55 + -4[-6 + -2x]
1 + 2x = 55 + [-6 * -4 + -2x * -4]
1 + 2x = 55 + [24 + 8x]

Combine like terms: 55 + 24 = 79
1 + 2x = 79 + 8x

Solving
1 + 2x = 79 + 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.
1 + 2x + -8x = 79 + 8x + -8x

Combine like terms: 2x + -8x = -6x
1 + -6x = 79 + 8x + -8x

Combine like terms: 8x + -8x = 0
1 + -6x = 79 + 0
1 + -6x = 79

Add '-1' to each side of the equation.
1 + -1 + -6x = 79 + -1

Combine like terms: 1 + -1 = 0
0 + -6x = 79 + -1
-6x = 79 + -1

Combine like terms: 79 + -1 = 78
-6x = 78

Divide each side by '-6'.
x = -13

Simplifying
x = -13

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