3+5(x-1)=2x-2

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Solution for 3+5(x-1)=2x-2 equation:


Simplifying
3 + 5(x + -1) = 2x + -2

Reorder the terms:
3 + 5(-1 + x) = 2x + -2
3 + (-1 * 5 + x * 5) = 2x + -2
3 + (-5 + 5x) = 2x + -2

Combine like terms: 3 + -5 = -2
-2 + 5x = 2x + -2

Reorder the terms:
-2 + 5x = -2 + 2x

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

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

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

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

Combine like terms: 5x + -2x = 3x
3x = 2x + -2x

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

Divide each side by '3'.
x = 0

Simplifying
x = 0

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