2(x-3)+x-5=4(x-5)+9-x

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Solution for 2(x-3)+x-5=4(x-5)+9-x equation:


Simplifying
2(x + -3) + x + -5 = 4(x + -5) + 9 + -1x

Reorder the terms:
2(-3 + x) + x + -5 = 4(x + -5) + 9 + -1x
(-3 * 2 + x * 2) + x + -5 = 4(x + -5) + 9 + -1x
(-6 + 2x) + x + -5 = 4(x + -5) + 9 + -1x

Reorder the terms:
-6 + -5 + 2x + x = 4(x + -5) + 9 + -1x

Combine like terms: -6 + -5 = -11
-11 + 2x + x = 4(x + -5) + 9 + -1x

Combine like terms: 2x + x = 3x
-11 + 3x = 4(x + -5) + 9 + -1x

Reorder the terms:
-11 + 3x = 4(-5 + x) + 9 + -1x
-11 + 3x = (-5 * 4 + x * 4) + 9 + -1x
-11 + 3x = (-20 + 4x) + 9 + -1x

Reorder the terms:
-11 + 3x = -20 + 9 + 4x + -1x

Combine like terms: -20 + 9 = -11
-11 + 3x = -11 + 4x + -1x

Combine like terms: 4x + -1x = 3x
-11 + 3x = -11 + 3x

Add '11' to each side of the equation.
-11 + 11 + 3x = -11 + 11 + 3x

Combine like terms: -11 + 11 = 0
0 + 3x = -11 + 11 + 3x
3x = -11 + 11 + 3x

Combine like terms: -11 + 11 = 0
3x = 0 + 3x
3x = 3x

Add '-3x' to each side of the equation.
3x + -3x = 3x + -3x

Combine like terms: 3x + -3x = 0
0 = 3x + -3x

Combine like terms: 3x + -3x = 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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