2(2x+3)=3(x+2)+x

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


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

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

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

Combine like terms: 3x + x = 4x
6 + 4x = 6 + 4x

Add '-6' to each side of the equation.
6 + -6 + 4x = 6 + -6 + 4x

Combine like terms: 6 + -6 = 0
0 + 4x = 6 + -6 + 4x
4x = 6 + -6 + 4x

Combine like terms: 6 + -6 = 0
4x = 0 + 4x
4x = 4x

Add '-4x' to each side of the equation.
4x + -4x = 4x + -4x

Combine like terms: 4x + -4x = 0
0 = 4x + -4x

Combine like terms: 4x + -4x = 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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