5(x+2)-3x=2(x-2)-6

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Solution for 5(x+2)-3x=2(x-2)-6 equation:


Simplifying
5(x + 2) + -3x = 2(x + -2) + -6

Reorder the terms:
5(2 + x) + -3x = 2(x + -2) + -6
(2 * 5 + x * 5) + -3x = 2(x + -2) + -6
(10 + 5x) + -3x = 2(x + -2) + -6

Combine like terms: 5x + -3x = 2x
10 + 2x = 2(x + -2) + -6

Reorder the terms:
10 + 2x = 2(-2 + x) + -6
10 + 2x = (-2 * 2 + x * 2) + -6
10 + 2x = (-4 + 2x) + -6

Reorder the terms:
10 + 2x = -4 + -6 + 2x

Combine like terms: -4 + -6 = -10
10 + 2x = -10 + 2x

Add '-2x' to each side of the equation.
10 + 2x + -2x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + 0 = -10 + 2x + -2x
10 = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 = -10 + 0
10 = -10

Solving
10 = -10

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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