Solve for x
x=33
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-\left(x+3\right)\left(-6\right)=54\times 4
Variable x cannot be equal to -3 since division by zero is not defined. Multiply both sides of the equation by 54\left(x+3\right), the least common multiple of -54,3+x.
\left(-x-3\right)\left(-6\right)=54\times 4
To find the opposite of x+3, find the opposite of each term.
6x+18=54\times 4
Use the distributive property to multiply -x-3 by -6.
6x+18=216
Multiply 54 and 4 to get 216.
6x=216-18
Subtract 18 from both sides.
6x=198
Subtract 18 from 216 to get 198.
x=\frac{198}{6}
Divide both sides by 6.
x=33
Divide 198 by 6 to get 33.
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