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

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


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

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

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

Reorder the terms:
20 + 7x = 4(5 + x) + 3x
20 + 7x = (5 * 4 + x * 4) + 3x
20 + 7x = (20 + 4x) + 3x

Combine like terms: 4x + 3x = 7x
20 + 7x = 20 + 7x

Add '-20' to each side of the equation.
20 + -20 + 7x = 20 + -20 + 7x

Combine like terms: 20 + -20 = 0
0 + 7x = 20 + -20 + 7x
7x = 20 + -20 + 7x

Combine like terms: 20 + -20 = 0
7x = 0 + 7x
7x = 7x

Add '-7x' to each side of the equation.
7x + -7x = 7x + -7x

Combine like terms: 7x + -7x = 0
0 = 7x + -7x

Combine like terms: 7x + -7x = 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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