Solve 30.5=3.8left(x-18right)

$$30.5 = 3.8 \left( x-18 \right)$$

Solve for x

$$x = \frac{989}{38} = 26\frac{1}{38} \approx 26.026315789$$

Steps for Solving Linear Equation

Divide both sides by 3.8.

$$\frac{30.5}{3.8}=x-18$$

Expand \frac{30.5}{3.8} by multiplying both numerator and the denominator by 10.

$$\frac{305}{38}=x-18$$

Swap sides so that all variable terms are on the left hand side.

$$x-18=\frac{305}{38}$$

Add 18 to both sides.

$$x=\frac{305}{38}+18$$

Convert 18 to fraction \frac{684}{38}.

$$x=\frac{305}{38}+\frac{684}{38}$$

Since \frac{305}{38} and \frac{684}{38} have the same denominator, add them by adding their numerators.

$$x=\frac{305+684}{38}$$

Add 305 and 684 to get 989.

$$x=\frac{989}{38}$$