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

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


Simplifying
0 = 3(x + 6) + 2(x + -4)

Reorder the terms:
0 = 3(6 + x) + 2(x + -4)
0 = (6 * 3 + x * 3) + 2(x + -4)
0 = (18 + 3x) + 2(x + -4)

Reorder the terms:
0 = 18 + 3x + 2(-4 + x)
0 = 18 + 3x + (-4 * 2 + x * 2)
0 = 18 + 3x + (-8 + 2x)

Reorder the terms:
0 = 18 + -8 + 3x + 2x

Combine like terms: 18 + -8 = 10
0 = 10 + 3x + 2x

Combine like terms: 3x + 2x = 5x
0 = 10 + 5x

Solving
0 = 10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
0 + -5x = 10 + 5x + -5x
Remove the zero:
-5x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-5x = 10 + 0
-5x = 10

Divide each side by '-5'.
x = -2

Simplifying
x = -2

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