2(x-2)+3x=-2(x+2)+7x

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Solution for 2(x-2)+3x=-2(x+2)+7x equation:


Simplifying
2(x + -2) + 3x = -2(x + 2) + 7x

Reorder the terms:
2(-2 + x) + 3x = -2(x + 2) + 7x
(-2 * 2 + x * 2) + 3x = -2(x + 2) + 7x
(-4 + 2x) + 3x = -2(x + 2) + 7x

Combine like terms: 2x + 3x = 5x
-4 + 5x = -2(x + 2) + 7x

Reorder the terms:
-4 + 5x = -2(2 + x) + 7x
-4 + 5x = (2 * -2 + x * -2) + 7x
-4 + 5x = (-4 + -2x) + 7x

Combine like terms: -2x + 7x = 5x
-4 + 5x = -4 + 5x

Add '4' to each side of the equation.
-4 + 4 + 5x = -4 + 4 + 5x

Combine like terms: -4 + 4 = 0
0 + 5x = -4 + 4 + 5x
5x = -4 + 4 + 5x

Combine like terms: -4 + 4 = 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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