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

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


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

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

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

Solving
-2 + 2x = 5 + -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.
-2 + 2x + 5x = 5 + -5x + 5x

Combine like terms: 2x + 5x = 7x
-2 + 7x = 5 + -5x + 5x

Combine like terms: -5x + 5x = 0
-2 + 7x = 5 + 0
-2 + 7x = 5

Add '2' to each side of the equation.
-2 + 2 + 7x = 5 + 2

Combine like terms: -2 + 2 = 0
0 + 7x = 5 + 2
7x = 5 + 2

Combine like terms: 5 + 2 = 7
7x = 7

Divide each side by '7'.
x = 1

Simplifying
x = 1

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