Solve 8(x+1.5)=54

$$8 ( x + 1.5 ) = 54$$

Solve for x

$$x=5.25$$

Steps for Solving Linear Equation

Divide both sides by 8.

$$x+1.5=\frac{54}{8}$$

Reduce the fraction \frac{54}{8} to lowest terms by extracting and canceling out 2.

$$x+1.5=\frac{27}{4}$$

Subtract 1.5 from both sides.

$$x=\frac{27}{4}-1.5$$

Convert decimal number 1.5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$x=\frac{27}{4}-\frac{3}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{27}{4} and \frac{3}{2} to fractions with denominator 4.

$$x=\frac{27}{4}-\frac{6}{4}$$

Since \frac{27}{4} and \frac{6}{4} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{27-6}{4}$$

Subtract 6 from 27 to get 21.

$$x=\frac{21}{4}$$