3(x+4)=2(x-3)+x+9

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Solution for 3(x+4)=2(x-3)+x+9 equation:


Simplifying
3(x + 4) = 2(x + -3) + x + 9

Reorder the terms:
3(4 + x) = 2(x + -3) + x + 9
(4 * 3 + x * 3) = 2(x + -3) + x + 9
(12 + 3x) = 2(x + -3) + x + 9

Reorder the terms:
12 + 3x = 2(-3 + x) + x + 9
12 + 3x = (-3 * 2 + x * 2) + x + 9
12 + 3x = (-6 + 2x) + x + 9

Reorder the terms:
12 + 3x = -6 + 9 + 2x + x

Combine like terms: -6 + 9 = 3
12 + 3x = 3 + 2x + x

Combine like terms: 2x + x = 3x
12 + 3x = 3 + 3x

Add '-3x' to each side of the equation.
12 + 3x + -3x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + 0 = 3 + 3x + -3x
12 = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 = 3 + 0
12 = 3

Solving
12 = 3

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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