3(x+5)=2(x-6)+9

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Solution for 3(x+5)=2(x-6)+9 equation:


Simplifying
3(x + 5) = 2(x + -6) + 9

Reorder the terms:
3(5 + x) = 2(x + -6) + 9
(5 * 3 + x * 3) = 2(x + -6) + 9
(15 + 3x) = 2(x + -6) + 9

Reorder the terms:
15 + 3x = 2(-6 + x) + 9
15 + 3x = (-6 * 2 + x * 2) + 9
15 + 3x = (-12 + 2x) + 9

Reorder the terms:
15 + 3x = -12 + 9 + 2x

Combine like terms: -12 + 9 = -3
15 + 3x = -3 + 2x

Solving
15 + 3x = -3 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
15 + 3x + -2x = -3 + 2x + -2x

Combine like terms: 3x + -2x = 1x
15 + 1x = -3 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + 1x = -3 + 0
15 + 1x = -3

Add '-15' to each side of the equation.
15 + -15 + 1x = -3 + -15

Combine like terms: 15 + -15 = 0
0 + 1x = -3 + -15
1x = -3 + -15

Combine like terms: -3 + -15 = -18
1x = -18

Divide each side by '1'.
x = -18

Simplifying
x = -18

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