Solve for x
x=14
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3\left(x-2\right)+3\left(x+4\right)\left(-\frac{2}{3}\right)=0
Variable x cannot be equal to -4 since division by zero is not defined. Multiply both sides of the equation by 3\left(x+4\right), the least common multiple of x+4,3.
3x-6+3\left(x+4\right)\left(-\frac{2}{3}\right)=0
Use the distributive property to multiply 3 by x-2.
3x-6-2\left(x+4\right)=0
Multiply 3 and -\frac{2}{3} to get -2.
3x-6-2x-8=0
Use the distributive property to multiply -2 by x+4.
x-6-8=0
Combine 3x and -2x to get x.
x-14=0
Subtract 8 from -6 to get -14.
x=14
Add 14 to both sides. Anything plus zero gives itself.
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