Solve 5(z-0.52)=8

$$5 ( z - 0.52 ) = 8$$

Solve for z

$$z=2.12$$

Steps for Solving Linear Equation

Divide both sides by 5.

$$z-0.52=\frac{8}{5}$$

Add 0.52 to both sides.

$$z=\frac{8}{5}+0.52$$

Convert decimal number 0.52 to fraction \frac{52}{100}. Reduce the fraction \frac{52}{100} to lowest terms by extracting and canceling out 4.

$$z=\frac{8}{5}+\frac{13}{25}$$

Least common multiple of 5 and 25 is 25. Convert \frac{8}{5} and \frac{13}{25} to fractions with denominator 25.

$$z=\frac{40}{25}+\frac{13}{25}$$

Since \frac{40}{25} and \frac{13}{25} have the same denominator, add them by adding their numerators.

$$z=\frac{40+13}{25}$$

Add 40 and 13 to get 53.

$$z=\frac{53}{25}$$