3(x-2)-5x=2(x-3)-4x

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Solution for 3(x-2)-5x=2(x-3)-4x equation:


Simplifying
3(x + -2) + -5x = 2(x + -3) + -4x

Reorder the terms:
3(-2 + x) + -5x = 2(x + -3) + -4x
(-2 * 3 + x * 3) + -5x = 2(x + -3) + -4x
(-6 + 3x) + -5x = 2(x + -3) + -4x

Combine like terms: 3x + -5x = -2x
-6 + -2x = 2(x + -3) + -4x

Reorder the terms:
-6 + -2x = 2(-3 + x) + -4x
-6 + -2x = (-3 * 2 + x * 2) + -4x
-6 + -2x = (-6 + 2x) + -4x

Combine like terms: 2x + -4x = -2x
-6 + -2x = -6 + -2x

Add '6' to each side of the equation.
-6 + 6 + -2x = -6 + 6 + -2x

Combine like terms: -6 + 6 = 0
0 + -2x = -6 + 6 + -2x
-2x = -6 + 6 + -2x

Combine like terms: -6 + 6 = 0
-2x = 0 + -2x
-2x = -2x

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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