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

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


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

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

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

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

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

Solving
5 + 1x = -2 + 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.
5 + 1x + -5x = -2 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
5 + -4x = -2 + 0
5 + -4x = -2

Add '-5' to each side of the equation.
5 + -5 + -4x = -2 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = -2 + -5
-4x = -2 + -5

Combine like terms: -2 + -5 = -7
-4x = -7

Divide each side by '-4'.
x = 1.75

Simplifying
x = 1.75

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