Solve 2/3x+x=12.5

$$\frac{ 2 }{ 3 } x+x=12.5$$

Solve for x

$$x=7.5$$

Steps for Solving Linear Equation

Combine \frac{2}{3}x and x to get \frac{5}{3}x.

$$\frac{5}{3}x=12.5$$

Multiply both sides by \frac{3}{5}, the reciprocal of \frac{5}{3}.

$$x=12.5\times \frac{3}{5}$$

Convert decimal number 12.5 to fraction \frac{125}{10}. Reduce the fraction \frac{125}{10} to lowest terms by extracting and canceling out 5.

$$x=\frac{25}{2}\times \frac{3}{5}$$

Multiply \frac{25}{2} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{25\times 3}{2\times 5}$$

Do the multiplications in the fraction \frac{25\times 3}{2\times 5}.

$$x=\frac{75}{10}$$

Reduce the fraction \frac{75}{10} to lowest terms by extracting and canceling out 5.

$$x=\frac{15}{2}$$