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

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


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

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

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

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

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

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

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

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

Solving
1 + 1x = 8 + 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.
1 + 1x + -3x = 8 + 3x + -3x

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

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

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

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

Combine like terms: 8 + -1 = 7
-2x = 7

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

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