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

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


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

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

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

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

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

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

Solving
-3 + -1x = 4 + 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 = 4 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-3 + -3x = 4 + 0
-3 + -3x = 4

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

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

Combine like terms: 4 + 3 = 7
-3x = 7

Divide each side by '-3'.
x = -2.333333333

Simplifying
x = -2.333333333

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