2(x-1)-3(x+2)=8-4x

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Solution for 2(x-1)-3(x+2)=8-4x equation: 


Simplifying
2(x + -1) + -3(x + 2) = 8 + -4x

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

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

Reorder the terms:
-2 + -6 + 2x + -3x = 8 + -4x

Combine like terms: -2 + -6 = -8
-8 + 2x + -3x = 8 + -4x

Combine like terms: 2x + -3x = -1x
-8 + -1x = 8 + -4x

Solving
-8 + -1x = 8 + -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.
-8 + -1x + 4x = 8 + -4x + 4x

Combine like terms: -1x + 4x = 3x
-8 + 3x = 8 + -4x + 4x

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

Add '8' to each side of the equation.
-8 + 8 + 3x = 8 + 8

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

Combine like terms: 8 + 8 = 16
3x = 16

Divide each side by '3'.
x = 5.333333333

Simplifying
x = 5.333333333

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