-2(x-4)+5(x+3)=3x-12+2

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Solution for -2(x-4)+5(x+3)=3x-12+2 equation: 


Simplifying
-2(x + -4) + 5(x + 3) = 3x + -12 + 2

Reorder the terms:
-2(-4 + x) + 5(x + 3) = 3x + -12 + 2
(-4 * -2 + x * -2) + 5(x + 3) = 3x + -12 + 2
(8 + -2x) + 5(x + 3) = 3x + -12 + 2

Reorder the terms:
8 + -2x + 5(3 + x) = 3x + -12 + 2
8 + -2x + (3 * 5 + x * 5) = 3x + -12 + 2
8 + -2x + (15 + 5x) = 3x + -12 + 2

Reorder the terms:
8 + 15 + -2x + 5x = 3x + -12 + 2

Combine like terms: 8 + 15 = 23
23 + -2x + 5x = 3x + -12 + 2

Combine like terms: -2x + 5x = 3x
23 + 3x = 3x + -12 + 2

Reorder the terms:
23 + 3x = -12 + 2 + 3x

Combine like terms: -12 + 2 = -10
23 + 3x = -10 + 3x

Add '-3x' to each side of the equation.
23 + 3x + -3x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
23 + 0 = -10 + 3x + -3x
23 = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
23 = -10 + 0
23 = -10

Solving
23 = -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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