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

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


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

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

Combine like terms: 2 + 5 = 7
7 + -3x = 2x + -3

Reorder the terms:
7 + -3x = -3 + 2x

Solving
7 + -3x = -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.
7 + -3x + -2x = -3 + 2x + -2x

Combine like terms: -3x + -2x = -5x
7 + -5x = -3 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + -5x = -3 + 0
7 + -5x = -3

Add '-7' to each side of the equation.
7 + -7 + -5x = -3 + -7

Combine like terms: 7 + -7 = 0
0 + -5x = -3 + -7
-5x = -3 + -7

Combine like terms: -3 + -7 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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