2(x+3)+3x=-3(x-2)+8x

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Solution for 2(x+3)+3x=-3(x-2)+8x equation:


Simplifying
2(x + 3) + 3x = -3(x + -2) + 8x

Reorder the terms:
2(3 + x) + 3x = -3(x + -2) + 8x
(3 * 2 + x * 2) + 3x = -3(x + -2) + 8x
(6 + 2x) + 3x = -3(x + -2) + 8x

Combine like terms: 2x + 3x = 5x
6 + 5x = -3(x + -2) + 8x

Reorder the terms:
6 + 5x = -3(-2 + x) + 8x
6 + 5x = (-2 * -3 + x * -3) + 8x
6 + 5x = (6 + -3x) + 8x

Combine like terms: -3x + 8x = 5x
6 + 5x = 6 + 5x

Add '-6' to each side of the equation.
6 + -6 + 5x = 6 + -6 + 5x

Combine like terms: 6 + -6 = 0
0 + 5x = 6 + -6 + 5x
5x = 6 + -6 + 5x

Combine like terms: 6 + -6 = 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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