3x-5(x-6)=2(10-x)+10

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Solution for 3x-5(x-6)=2(10-x)+10 equation: 


Simplifying
3x + -5(x + -6) = 2(10 + -1x) + 10

Reorder the terms:
3x + -5(-6 + x) = 2(10 + -1x) + 10
3x + (-6 * -5 + x * -5) = 2(10 + -1x) + 10
3x + (30 + -5x) = 2(10 + -1x) + 10

Reorder the terms:
30 + 3x + -5x = 2(10 + -1x) + 10

Combine like terms: 3x + -5x = -2x
30 + -2x = 2(10 + -1x) + 10
30 + -2x = (10 * 2 + -1x * 2) + 10
30 + -2x = (20 + -2x) + 10

Reorder the terms:
30 + -2x = 20 + 10 + -2x

Combine like terms: 20 + 10 = 30
30 + -2x = 30 + -2x

Add '-30' to each side of the equation.
30 + -30 + -2x = 30 + -30 + -2x

Combine like terms: 30 + -30 = 0
0 + -2x = 30 + -30 + -2x
-2x = 30 + -30 + -2x

Combine like terms: 30 + -30 = 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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