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

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


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

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

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

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

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

Add '-6' to each side of the equation.
6 + -6 + 2x = 6 + -6 + 2x

Combine like terms: 6 + -6 = 0
0 + 2x = 6 + -6 + 2x
2x = 6 + -6 + 2x

Combine like terms: 6 + -6 = 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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