4(x-5)-3x=2(x-10)-x

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Solution for 4(x-5)-3x=2(x-10)-x equation: 


Simplifying
4(x + -5) + -3x = 2(x + -10) + -1x

Reorder the terms:
4(-5 + x) + -3x = 2(x + -10) + -1x
(-5 * 4 + x * 4) + -3x = 2(x + -10) + -1x
(-20 + 4x) + -3x = 2(x + -10) + -1x

Combine like terms: 4x + -3x = 1x
-20 + 1x = 2(x + -10) + -1x

Reorder the terms:
-20 + 1x = 2(-10 + x) + -1x
-20 + 1x = (-10 * 2 + x * 2) + -1x
-20 + 1x = (-20 + 2x) + -1x

Combine like terms: 2x + -1x = 1x
-20 + 1x = -20 + 1x

Add '20' to each side of the equation.
-20 + 20 + 1x = -20 + 20 + 1x

Combine like terms: -20 + 20 = 0
0 + 1x = -20 + 20 + 1x
1x = -20 + 20 + 1x

Combine like terms: -20 + 20 = 0
1x = 0 + 1x
1x = 1x

Add '-1x' to each side of the equation.
1x + -1x = 1x + -1x

Combine like terms: 1x + -1x = 0
0 = 1x + -1x

Combine like terms: 1x + -1x = 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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