18-[3(x+2)+4]=21-[6(-2x-2)+1]

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Solution for 18-[3(x+2)+4]=21-[6(-2x-2)+1] equation: 


Simplifying
18 + -1[3(x + 2) + 4] = 21 + -1[6(-2x + -2) + 1]

Reorder the terms:
18 + -1[3(2 + x) + 4] = 21 + -1[6(-2x + -2) + 1]
18 + -1[(2 * 3 + x * 3) + 4] = 21 + -1[6(-2x + -2) + 1]
18 + -1[(6 + 3x) + 4] = 21 + -1[6(-2x + -2) + 1]

Reorder the terms:
18 + -1[6 + 4 + 3x] = 21 + -1[6(-2x + -2) + 1]

Combine like terms: 6 + 4 = 10
18 + -1[10 + 3x] = 21 + -1[6(-2x + -2) + 1]
18 + [10 * -1 + 3x * -1] = 21 + -1[6(-2x + -2) + 1]
18 + [-10 + -3x] = 21 + -1[6(-2x + -2) + 1]

Combine like terms: 18 + -10 = 8
8 + -3x = 21 + -1[6(-2x + -2) + 1]

Reorder the terms:
8 + -3x = 21 + -1[6(-2 + -2x) + 1]
8 + -3x = 21 + -1[(-2 * 6 + -2x * 6) + 1]
8 + -3x = 21 + -1[(-12 + -12x) + 1]

Reorder the terms:
8 + -3x = 21 + -1[-12 + 1 + -12x]

Combine like terms: -12 + 1 = -11
8 + -3x = 21 + -1[-11 + -12x]
8 + -3x = 21 + [-11 * -1 + -12x * -1]
8 + -3x = 21 + [11 + 12x]

Combine like terms: 21 + 11 = 32
8 + -3x = 32 + 12x

Solving
8 + -3x = 32 + 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.
8 + -3x + -12x = 32 + 12x + -12x

Combine like terms: -3x + -12x = -15x
8 + -15x = 32 + 12x + -12x

Combine like terms: 12x + -12x = 0
8 + -15x = 32 + 0
8 + -15x = 32

Add '-8' to each side of the equation.
8 + -8 + -15x = 32 + -8

Combine like terms: 8 + -8 = 0
0 + -15x = 32 + -8
-15x = 32 + -8

Combine like terms: 32 + -8 = 24
-15x = 24

Divide each side by '-15'.
x = -1.6

Simplifying
x = -1.6

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