Solve 2/3x+2/3=1.4

$$\frac { 2 } { 3 } x + \frac { 2 } { 3 } = 1.4$$

Solve for x

$$x=1.1$$

Steps for Solving Linear Equation

Subtract \frac{2}{3} from both sides.

$$\frac{2}{3}x=1.4-\frac{2}{3}$$

Convert decimal number 1.4 to fraction \frac{14}{10}. Reduce the fraction \frac{14}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2}{3}x=\frac{7}{5}-\frac{2}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{7}{5} and \frac{2}{3} to fractions with denominator 15.

$$\frac{2}{3}x=\frac{21}{15}-\frac{10}{15}$$

Since \frac{21}{15} and \frac{10}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2}{3}x=\frac{21-10}{15}$$

Subtract 10 from 21 to get 11.

$$\frac{2}{3}x=\frac{11}{15}$$

Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.

$$x=\frac{11}{15}\times \frac{3}{2}$$

Multiply \frac{11}{15} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{11\times 3}{15\times 2}$$

Do the multiplications in the fraction \frac{11\times 3}{15\times 2}.

$$x=\frac{33}{30}$$

Reduce the fraction \frac{33}{30} to lowest terms by extracting and canceling out 3.

$$x=\frac{11}{10}$$