7-(x-5)=-2(x-1)

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Solution for 7-(x-5)=-2(x-1) equation: 


Simplifying
7 + -1(x + -5) = -2(x + -1)

Reorder the terms:
7 + -1(-5 + x) = -2(x + -1)
7 + (-5 * -1 + x * -1) = -2(x + -1)
7 + (5 + -1x) = -2(x + -1)

Combine like terms: 7 + 5 = 12
12 + -1x = -2(x + -1)

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

Solving
12 + -1x = 2 + -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.
12 + -1x + 2x = 2 + -2x + 2x

Combine like terms: -1x + 2x = 1x
12 + 1x = 2 + -2x + 2x

Combine like terms: -2x + 2x = 0
12 + 1x = 2 + 0
12 + 1x = 2

Add '-12' to each side of the equation.
12 + -12 + 1x = 2 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = 2 + -12
1x = 2 + -12

Combine like terms: 2 + -12 = -10
1x = -10

Divide each side by '1'.
x = -10

Simplifying
x = -10

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