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

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


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

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

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

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

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

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

Solving
10 + 5x = 0

Solving for variable 'x'.

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

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

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

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

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

Simplifying
x = -2

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