3(x+4)-9=2(x-6)

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Solution for 3(x+4)-9=2(x-6) equation:


Simplifying
3(x + 4) + -9 = 2(x + -6)

Reorder the terms:
3(4 + x) + -9 = 2(x + -6)
(4 * 3 + x * 3) + -9 = 2(x + -6)
(12 + 3x) + -9 = 2(x + -6)

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

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

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

Solving
3 + 3x = -12 + 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.
3 + 3x + -2x = -12 + 2x + -2x

Combine like terms: 3x + -2x = 1x
3 + 1x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + 1x = -12 + 0
3 + 1x = -12

Add '-3' to each side of the equation.
3 + -3 + 1x = -12 + -3

Combine like terms: 3 + -3 = 0
0 + 1x = -12 + -3
1x = -12 + -3

Combine like terms: -12 + -3 = -15
1x = -15

Divide each side by '1'.
x = -15

Simplifying
x = -15

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