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

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


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

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

Reorder the terms:
-12 + 4x + -3(-3 + x) = 2x + 8
-12 + 4x + (-3 * -3 + x * -3) = 2x + 8
-12 + 4x + (9 + -3x) = 2x + 8

Reorder the terms:
-12 + 9 + 4x + -3x = 2x + 8

Combine like terms: -12 + 9 = -3
-3 + 4x + -3x = 2x + 8

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

Reorder the terms:
-3 + 1x = 8 + 2x

Solving
-3 + 1x = 8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-3 + 1x + -2x = 8 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-3 + -1x = 8 + 0
-3 + -1x = 8

Add '3' to each side of the equation.
-3 + 3 + -1x = 8 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 8 + 3
-1x = 8 + 3

Combine like terms: 8 + 3 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

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