Solve for x
x=10
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\left(18x+9\right)\times 3=\left(8x+1\right)\times 7
Variable x cannot be equal to any of the values -\frac{1}{2},-\frac{1}{8} since division by zero is not defined. Multiply both sides of the equation by 9\left(2x+1\right)\left(8x+1\right), the least common multiple of 8x+1,18x+9.
54x+27=\left(8x+1\right)\times 7
Use the distributive property to multiply 18x+9 by 3.
54x+27=56x+7
Use the distributive property to multiply 8x+1 by 7.
54x+27-56x=7
Subtract 56x from both sides.
-2x+27=7
Combine 54x and -56x to get -2x.
-2x=7-27
Subtract 27 from both sides.
-2x=-20
Subtract 27 from 7 to get -20.
x=\frac{-20}{-2}
Divide both sides by -2.
x=10
Divide -20 by -2 to get 10.
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