Solve 8x+1/2-3x+2/3

$$8 x + \frac { 1 } { 2 } - 3 x + \frac { 2 } { 3 }$$

Evaluate

$$5x+\frac{7}{6}$$

Solution Steps

Combine 8x and -3x to get 5x.

$$5x+\frac{1}{2}+\frac{2}{3}$$

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

$$5x+\frac{3}{6}+\frac{4}{6}$$

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

$$5x+\frac{3+4}{6}$$

Add 3 and 4 to get 7.

$$5x+\frac{7}{6}$$

Factor

$$\frac{30x+7}{6}$$

Solution Steps

Factor out \frac{1}{6}.

$$\frac{30x+7}{6}$$

Consider 48x+3-18x+4. Multiply and combine like terms.

$$30x+7$$

Rewrite the complete factored expression.

$$\frac{30x+7}{6}$$