7x+5-5(x-3)=5(x+4)-3x

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Solution for 7x+5-5(x-3)=5(x+4)-3x equation: 


Simplifying
7x + 5 + -5(x + -3) = 5(x + 4) + -3x

Reorder the terms:
7x + 5 + -5(-3 + x) = 5(x + 4) + -3x
7x + 5 + (-3 * -5 + x * -5) = 5(x + 4) + -3x
7x + 5 + (15 + -5x) = 5(x + 4) + -3x

Reorder the terms:
5 + 15 + 7x + -5x = 5(x + 4) + -3x

Combine like terms: 5 + 15 = 20
20 + 7x + -5x = 5(x + 4) + -3x

Combine like terms: 7x + -5x = 2x
20 + 2x = 5(x + 4) + -3x

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

Combine like terms: 5x + -3x = 2x
20 + 2x = 20 + 2x

Add '-20' to each side of the equation.
20 + -20 + 2x = 20 + -20 + 2x

Combine like terms: 20 + -20 = 0
0 + 2x = 20 + -20 + 2x
2x = 20 + -20 + 2x

Combine like terms: 20 + -20 = 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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