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

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


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

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

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

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

Add '6' to each side of the equation.
-6 + 6 + 3x = -6 + 6 + 3x

Combine like terms: -6 + 6 = 0
0 + 3x = -6 + 6 + 3x
3x = -6 + 6 + 3x

Combine like terms: -6 + 6 = 0
3x = 0 + 3x
3x = 3x

Add '-3x' to each side of the equation.
3x + -3x = 3x + -3x

Combine like terms: 3x + -3x = 0
0 = 3x + -3x

Combine like terms: 3x + -3x = 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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