Solve 14(x-1.5)=7

$$14(x-1.5)=7$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Divide both sides by 14.

$$x-1.5=\frac{7}{14}$$

Reduce the fraction \frac{7}{14} to lowest terms by extracting and canceling out 7.

$$x-1.5=\frac{1}{2}$$

Add 1.5 to both sides.

$$x=\frac{1}{2}+1.5$$

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.

$$x=\frac{1}{2}+\frac{3}{2}$$

Since \frac{1}{2} and \frac{3}{2} have the same denominator, add them by adding their numerators.

$$x=\frac{1+3}{2}$$

Add 1 and 3 to get 4.

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

Divide 4 by 2 to get 2.

$$x=2$$