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

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


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

Reorder the terms:
4(5 + 2x) = 10(x + 2) + -2x
(5 * 4 + 2x * 4) = 10(x + 2) + -2x
(20 + 8x) = 10(x + 2) + -2x

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

Combine like terms: 10x + -2x = 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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