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

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


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

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

Combine like terms: 5x + 3x = 8x
20 + 8x = -2(x + -10) + 10x

Reorder the terms:
20 + 8x = -2(-10 + x) + 10x
20 + 8x = (-10 * -2 + x * -2) + 10x
20 + 8x = (20 + -2x) + 10x

Combine like terms: -2x + 10x = 8x
20 + 8x = 20 + 8x

Add '-20' to each side of the equation.
20 + -20 + 8x = 20 + -20 + 8x

Combine like terms: 20 + -20 = 0
0 + 8x = 20 + -20 + 8x
8x = 20 + -20 + 8x

Combine like terms: 20 + -20 = 0
8x = 0 + 8x
8x = 8x

Add '-8x' to each side of the equation.
8x + -8x = 8x + -8x

Combine like terms: 8x + -8x = 0
0 = 8x + -8x

Combine like terms: 8x + -8x = 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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