Solve 2/3x-2/3=1/2

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

Solve for x

$$x = \frac{7}{4} = 1\frac{3}{4} = 1.75$$

Steps for Solving Linear Equation

Add \frac{2}{3} to both sides.

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

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{2}{3} to fractions with denominator 6.

$$\frac{2}{3}x=\frac{3}{6}+\frac{4}{6}$$

Since \frac{3}{6} and \frac{4}{6} have the same denominator, add them by adding their numerators.

$$\frac{2}{3}x=\frac{3+4}{6}$$

Add 3 and 4 to get 7.

$$\frac{2}{3}x=\frac{7}{6}$$

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

$$x=\frac{7}{6}\times \frac{3}{2}$$

Multiply \frac{7}{6} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{7\times 3}{6\times 2}$$

Do the multiplications in the fraction \frac{7\times 3}{6\times 2}.

$$x=\frac{21}{12}$$

Reduce the fraction \frac{21}{12} to lowest terms by extracting and canceling out 3.

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