Solve 18x=20%(151+18x)

$$18 x = 20 \% ( 151 + 18 x )$$

Solve for x

$$x = \frac{151}{72} = 2\frac{7}{72} \approx 2.097222222$$

Steps for Solving Linear Equation

Reduce the fraction \frac{20}{100} to lowest terms by extracting and canceling out 20.

$$18x=\frac{1}{5}\left(151+18x\right)$$

Use the distributive property to multiply \frac{1}{5} by 151+18x.

$$18x=\frac{1}{5}\times 151+\frac{1}{5}\times 18x$$

Multiply \frac{1}{5} and 151 to get \frac{151}{5}.

$$18x=\frac{151}{5}+\frac{1}{5}\times 18x$$

Multiply \frac{1}{5} and 18 to get \frac{18}{5}.

$$18x=\frac{151}{5}+\frac{18}{5}x$$

Subtract \frac{18}{5}x from both sides.

$$18x-\frac{18}{5}x=\frac{151}{5}$$

Combine 18x and -\frac{18}{5}x to get \frac{72}{5}x.

$$\frac{72}{5}x=\frac{151}{5}$$

Multiply both sides by \frac{5}{72}, the reciprocal of \frac{72}{5}.

$$x=\frac{151}{5}\times \frac{5}{72}$$

Multiply \frac{151}{5} times \frac{5}{72} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{151\times 5}{5\times 72}$$

Cancel out 5 in both numerator and denominator.

$$x=\frac{151}{72}$$