Solve 4(x-0.5)=7

$$4 ( x - 0.5 ) = 7$$

Solve for x

$$x=2.25$$

Steps for Solving Linear Equation

Divide both sides by 4.

$$x-0.5=\frac{7}{4}$$

Add 0.5 to both sides.

$$x=\frac{7}{4}+0.5$$

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$x=\frac{7}{4}+\frac{1}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{7}{4} and \frac{1}{2} to fractions with denominator 4.

$$x=\frac{7}{4}+\frac{2}{4}$$

Since \frac{7}{4} and \frac{2}{4} have the same denominator, add them by adding their numerators.

$$x=\frac{7+2}{4}$$

Add 7 and 2 to get 9.

$$x=\frac{9}{4}$$