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

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


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

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

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

Reorder the terms:
-3 + 5x = -2 + -2 + 2x

Combine like terms: -2 + -2 = -4
-3 + 5x = -4 + 2x

Solving
-3 + 5x = -4 + 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.
-3 + 5x + -2x = -4 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-3 + 3x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + 3x = -4 + 0
-3 + 3x = -4

Add '3' to each side of the equation.
-3 + 3 + 3x = -4 + 3

Combine like terms: -3 + 3 = 0
0 + 3x = -4 + 3
3x = -4 + 3

Combine like terms: -4 + 3 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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