6(x-1)-3(x+2)=4(2x+3)-(3x-4)

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Solution for 6(x-1)-3(x+2)=4(2x+3)-(3x-4) equation: 


Simplifying
6(x + -1) + -3(x + 2) = 4(2x + 3) + -1(3x + -4)

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

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

Reorder the terms:
-6 + -6 + 6x + -3x = 4(2x + 3) + -1(3x + -4)

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

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

Reorder the terms:
-12 + 3x = 4(3 + 2x) + -1(3x + -4)
-12 + 3x = (3 * 4 + 2x * 4) + -1(3x + -4)
-12 + 3x = (12 + 8x) + -1(3x + -4)

Reorder the terms:
-12 + 3x = 12 + 8x + -1(-4 + 3x)
-12 + 3x = 12 + 8x + (-4 * -1 + 3x * -1)
-12 + 3x = 12 + 8x + (4 + -3x)

Reorder the terms:
-12 + 3x = 12 + 4 + 8x + -3x

Combine like terms: 12 + 4 = 16
-12 + 3x = 16 + 8x + -3x

Combine like terms: 8x + -3x = 5x
-12 + 3x = 16 + 5x

Solving
-12 + 3x = 16 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-12 + 3x + -5x = 16 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-12 + -2x = 16 + 5x + -5x

Combine like terms: 5x + -5x = 0
-12 + -2x = 16 + 0
-12 + -2x = 16

Add '12' to each side of the equation.
-12 + 12 + -2x = 16 + 12

Combine like terms: -12 + 12 = 0
0 + -2x = 16 + 12
-2x = 16 + 12

Combine like terms: 16 + 12 = 28
-2x = 28

Divide each side by '-2'.
x = -14

Simplifying
x = -14

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