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4x-3\left(6x+22\right)=0
Multiply both sides of the equation by 15, the least common multiple of 15,5.
4x-18x-66=0
Use the distributive property to multiply -3 by 6x+22.
-14x-66=0
Combine 4x and -18x to get -14x.
-14x=66
Add 66 to both sides. Anything plus zero gives itself.
x=\frac{66}{-14}
Divide both sides by -14.
x=-\frac{33}{7}
Reduce the fraction \frac{66}{-14} to lowest terms by extracting and canceling out 2.