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

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


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

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

Reorder the terms:
2 + 5x = 2(3 + x) + 3x + -4
2 + 5x = (3 * 2 + x * 2) + 3x + -4
2 + 5x = (6 + 2x) + 3x + -4

Reorder the terms:
2 + 5x = 6 + -4 + 2x + 3x

Combine like terms: 6 + -4 = 2
2 + 5x = 2 + 2x + 3x

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

Add '-2' to each side of the equation.
2 + -2 + 5x = 2 + -2 + 5x

Combine like terms: 2 + -2 = 0
0 + 5x = 2 + -2 + 5x
5x = 2 + -2 + 5x

Combine like terms: 2 + -2 = 0
5x = 0 + 5x
5x = 5x

Add '-5x' to each side of the equation.
5x + -5x = 5x + -5x

Combine like terms: 5x + -5x = 0
0 = 5x + -5x

Combine like terms: 5x + -5x = 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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