2(x-5)=3(x+2)-x-16

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Solution for 2(x-5)=3(x+2)-x-16 equation: 


Simplifying
2(x + -5) = 3(x + 2) + -1x + -16

Reorder the terms:
2(-5 + x) = 3(x + 2) + -1x + -16
(-5 * 2 + x * 2) = 3(x + 2) + -1x + -16
(-10 + 2x) = 3(x + 2) + -1x + -16

Reorder the terms:
-10 + 2x = 3(2 + x) + -1x + -16
-10 + 2x = (2 * 3 + x * 3) + -1x + -16
-10 + 2x = (6 + 3x) + -1x + -16

Reorder the terms:
-10 + 2x = 6 + -16 + 3x + -1x

Combine like terms: 6 + -16 = -10
-10 + 2x = -10 + 3x + -1x

Combine like terms: 3x + -1x = 2x
-10 + 2x = -10 + 2x

Add '10' to each side of the equation.
-10 + 10 + 2x = -10 + 10 + 2x

Combine like terms: -10 + 10 = 0
0 + 2x = -10 + 10 + 2x
2x = -10 + 10 + 2x

Combine like terms: -10 + 10 = 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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