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

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


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

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

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

Combine like terms: 5x + -1x = 4x
2 + 4x = 2x + -3

Reorder the terms:
2 + 4x = -3 + 2x

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

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

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

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

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

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

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

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