3x-[4(x-2)-3(4+2x)]=6x-9(x-1)-5

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Solution for 3x-[4(x-2)-3(4+2x)]=6x-9(x-1)-5 equation: 


Simplifying
3x + -1[4(x + -2) + -3(4 + 2x)] = 6x + -9(x + -1) + -5

Reorder the terms:
3x + -1[4(-2 + x) + -3(4 + 2x)] = 6x + -9(x + -1) + -5
3x + -1[(-2 * 4 + x * 4) + -3(4 + 2x)] = 6x + -9(x + -1) + -5
3x + -1[(-8 + 4x) + -3(4 + 2x)] = 6x + -9(x + -1) + -5
3x + -1[-8 + 4x + (4 * -3 + 2x * -3)] = 6x + -9(x + -1) + -5
3x + -1[-8 + 4x + (-12 + -6x)] = 6x + -9(x + -1) + -5

Reorder the terms:
3x + -1[-8 + -12 + 4x + -6x] = 6x + -9(x + -1) + -5

Combine like terms: -8 + -12 = -20
3x + -1[-20 + 4x + -6x] = 6x + -9(x + -1) + -5

Combine like terms: 4x + -6x = -2x
3x + -1[-20 + -2x] = 6x + -9(x + -1) + -5
3x + [-20 * -1 + -2x * -1] = 6x + -9(x + -1) + -5
3x + [20 + 2x] = 6x + -9(x + -1) + -5

Reorder the terms:
20 + 3x + 2x = 6x + -9(x + -1) + -5

Combine like terms: 3x + 2x = 5x
20 + 5x = 6x + -9(x + -1) + -5

Reorder the terms:
20 + 5x = 6x + -9(-1 + x) + -5
20 + 5x = 6x + (-1 * -9 + x * -9) + -5
20 + 5x = 6x + (9 + -9x) + -5

Reorder the terms:
20 + 5x = 9 + -5 + 6x + -9x

Combine like terms: 9 + -5 = 4
20 + 5x = 4 + 6x + -9x

Combine like terms: 6x + -9x = -3x
20 + 5x = 4 + -3x

Solving
20 + 5x = 4 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
20 + 5x + 3x = 4 + -3x + 3x

Combine like terms: 5x + 3x = 8x
20 + 8x = 4 + -3x + 3x

Combine like terms: -3x + 3x = 0
20 + 8x = 4 + 0
20 + 8x = 4

Add '-20' to each side of the equation.
20 + -20 + 8x = 4 + -20

Combine like terms: 20 + -20 = 0
0 + 8x = 4 + -20
8x = 4 + -20

Combine like terms: 4 + -20 = -16
8x = -16

Divide each side by '8'.
x = -2

Simplifying
x = -2

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