Solve for x
x = -\frac{39}{7} = -5\frac{4}{7} \approx -5.571428571
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3\left(-6\right)-4\left(15+2x\right)=6x
Multiply both sides of the equation by 12, the least common multiple of 4,3,2.
-18-4\left(15+2x\right)=6x
Multiply 3 and -6 to get -18.
-18-60-8x=6x
Use the distributive property to multiply -4 by 15+2x.
-78-8x=6x
Subtract 60 from -18 to get -78.
-78-8x-6x=0
Subtract 6x from both sides.
-78-14x=0
Combine -8x and -6x to get -14x.
-14x=78
Add 78 to both sides. Anything plus zero gives itself.
x=\frac{78}{-14}
Divide both sides by -14.
x=-\frac{39}{7}
Reduce the fraction \frac{78}{-14} to lowest terms by extracting and canceling out 2.
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