2x-(x-1)=12+5(x-1)

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Solution for 2x-(x-1)=12+5(x-1) equation:


Simplifying
2x + -1(x + -1) = 12 + 5(x + -1)

Reorder the terms:
2x + -1(-1 + x) = 12 + 5(x + -1)
2x + (-1 * -1 + x * -1) = 12 + 5(x + -1)
2x + (1 + -1x) = 12 + 5(x + -1)

Reorder the terms:
1 + 2x + -1x = 12 + 5(x + -1)

Combine like terms: 2x + -1x = 1x
1 + 1x = 12 + 5(x + -1)

Reorder the terms:
1 + 1x = 12 + 5(-1 + x)
1 + 1x = 12 + (-1 * 5 + x * 5)
1 + 1x = 12 + (-5 + 5x)

Combine like terms: 12 + -5 = 7
1 + 1x = 7 + 5x

Solving
1 + 1x = 7 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
1 + 1x + -5x = 7 + 5x + -5x

Combine like terms: 1x + -5x = -4x
1 + -4x = 7 + 5x + -5x

Combine like terms: 5x + -5x = 0
1 + -4x = 7 + 0
1 + -4x = 7

Add '-1' to each side of the equation.
1 + -1 + -4x = 7 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 7 + -1
-4x = 7 + -1

Combine like terms: 7 + -1 = 6
-4x = 6

Divide each side by '-4'.
x = -1.5

Simplifying
x = -1.5

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