2(x-6)-x=4(x-3)-3x

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Solution for 2(x-6)-x=4(x-3)-3x equation:


Simplifying
2(x + -6) + -1x = 4(x + -3) + -3x

Reorder the terms:
2(-6 + x) + -1x = 4(x + -3) + -3x
(-6 * 2 + x * 2) + -1x = 4(x + -3) + -3x
(-12 + 2x) + -1x = 4(x + -3) + -3x

Combine like terms: 2x + -1x = 1x
-12 + 1x = 4(x + -3) + -3x

Reorder the terms:
-12 + 1x = 4(-3 + x) + -3x
-12 + 1x = (-3 * 4 + x * 4) + -3x
-12 + 1x = (-12 + 4x) + -3x

Combine like terms: 4x + -3x = 1x
-12 + 1x = -12 + 1x

Add '12' to each side of the equation.
-12 + 12 + 1x = -12 + 12 + 1x

Combine like terms: -12 + 12 = 0
0 + 1x = -12 + 12 + 1x
1x = -12 + 12 + 1x

Combine like terms: -12 + 12 = 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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