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

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


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

Reorder the terms:
5(-4 + x) + -3x = 4(x + -5) + -2x
(-4 * 5 + x * 5) + -3x = 4(x + -5) + -2x
(-20 + 5x) + -3x = 4(x + -5) + -2x

Combine like terms: 5x + -3x = 2x
-20 + 2x = 4(x + -5) + -2x

Reorder the terms:
-20 + 2x = 4(-5 + x) + -2x
-20 + 2x = (-5 * 4 + x * 4) + -2x
-20 + 2x = (-20 + 4x) + -2x

Combine like terms: 4x + -2x = 2x
-20 + 2x = -20 + 2x

Add '20' to each side of the equation.
-20 + 20 + 2x = -20 + 20 + 2x

Combine like terms: -20 + 20 = 0
0 + 2x = -20 + 20 + 2x
2x = -20 + 20 + 2x

Combine like terms: -20 + 20 = 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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