2(x-2)-x=3(x-1)+9

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Solution for 2(x-2)-x=3(x-1)+9 equation:


Simplifying
2(x + -2) + -1x = 3(x + -1) + 9

Reorder the terms:
2(-2 + x) + -1x = 3(x + -1) + 9
(-2 * 2 + x * 2) + -1x = 3(x + -1) + 9
(-4 + 2x) + -1x = 3(x + -1) + 9

Combine like terms: 2x + -1x = 1x
-4 + 1x = 3(x + -1) + 9

Reorder the terms:
-4 + 1x = 3(-1 + x) + 9
-4 + 1x = (-1 * 3 + x * 3) + 9
-4 + 1x = (-3 + 3x) + 9

Reorder the terms:
-4 + 1x = -3 + 9 + 3x

Combine like terms: -3 + 9 = 6
-4 + 1x = 6 + 3x

Solving
-4 + 1x = 6 + 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.
-4 + 1x + -3x = 6 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-4 + -2x = 6 + 0
-4 + -2x = 6

Add '4' to each side of the equation.
-4 + 4 + -2x = 6 + 4

Combine like terms: -4 + 4 = 0
0 + -2x = 6 + 4
-2x = 6 + 4

Combine like terms: 6 + 4 = 10
-2x = 10

Divide each side by '-2'.
x = -5

Simplifying
x = -5

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