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

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


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

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

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

Solving
-2 + 2x = 7 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-2 + 2x + x = 7 + -1x + x

Combine like terms: 2x + x = 3x
-2 + 3x = 7 + -1x + x

Combine like terms: -1x + x = 0
-2 + 3x = 7 + 0
-2 + 3x = 7

Add '2' to each side of the equation.
-2 + 2 + 3x = 7 + 2

Combine like terms: -2 + 2 = 0
0 + 3x = 7 + 2
3x = 7 + 2

Combine like terms: 7 + 2 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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