10(x+4)-2x=4x+2(2x+10)+20

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Solution for 10(x+4)-2x=4x+2(2x+10)+20 equation: 


Simplifying
10(x + 4) + -2x = 4x + 2(2x + 10) + 20

Reorder the terms:
10(4 + x) + -2x = 4x + 2(2x + 10) + 20
(4 * 10 + x * 10) + -2x = 4x + 2(2x + 10) + 20
(40 + 10x) + -2x = 4x + 2(2x + 10) + 20

Combine like terms: 10x + -2x = 8x
40 + 8x = 4x + 2(2x + 10) + 20

Reorder the terms:
40 + 8x = 4x + 2(10 + 2x) + 20
40 + 8x = 4x + (10 * 2 + 2x * 2) + 20
40 + 8x = 4x + (20 + 4x) + 20

Reorder the terms:
40 + 8x = 20 + 20 + 4x + 4x

Combine like terms: 20 + 20 = 40
40 + 8x = 40 + 4x + 4x

Combine like terms: 4x + 4x = 8x
40 + 8x = 40 + 8x

Add '-40' to each side of the equation.
40 + -40 + 8x = 40 + -40 + 8x

Combine like terms: 40 + -40 = 0
0 + 8x = 40 + -40 + 8x
8x = 40 + -40 + 8x

Combine like terms: 40 + -40 = 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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