Solve 183/7=18/2x+9

$$18 \frac{ 3 }{ 7 } = \frac{ 18 }{ 2x+9 }$$

Solve for x

$$x = -\frac{345}{86} = -4\frac{1}{86} \approx -4.011627907$$

Steps for Solving Linear Equation

Variable x cannot be equal to -\frac{9}{2} since division by zero is not defined. Multiply both sides of the equation by 7\left(2x+9\right), the least common multiple of 7,2x+9.

$$\left(2x+9\right)\left(18\times 7+3\right)=7\times 18$$

Multiply 18 and 7 to get 126.

$$\left(2x+9\right)\left(126+3\right)=7\times 18$$

Add 126 and 3 to get 129.

$$\left(2x+9\right)\times 129=7\times 18$$

Use the distributive property to multiply 2x+9 by 129.

$$258x+1161=7\times 18$$

Multiply 7 and 18 to get 126.

$$258x+1161=126$$

Subtract 1161 from both sides.

$$258x=126-1161$$

Subtract 1161 from 126 to get -1035.

$$258x=-1035$$

Divide both sides by 258.

$$x=\frac{-1035}{258}$$

Reduce the fraction \frac{-1035}{258} to lowest terms by extracting and canceling out 3.

$$x=-\frac{345}{86}$$