Solve 27x/3-9/2+x/3+1/2

$$\frac{ 27x }{ 3 } - \frac{ 9 }{ 2 } + \frac{ x }{ 3 } + \frac{ 1 }{ 2 }$$

Evaluate

$$\frac{28x}{3}-4$$

Solution Steps

Divide 27x by 3 to get 9x.

$$9x-\frac{9}{2}+\frac{x}{3}+\frac{1}{2}$$

Combine 9x and \frac{x}{3} to get \frac{28}{3}x.

$$\frac{28}{3}x-\frac{9}{2}+\frac{1}{2}$$

Since -\frac{9}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{28}{3}x+\frac{-9+1}{2}$$

Add -9 and 1 to get -8.

$$\frac{28}{3}x+\frac{-8}{2}$$

Divide -8 by 2 to get -4.

$$\frac{28}{3}x-4$$

Factor

$$\frac{4\left(7x-3\right)}{3}$$

Solution Steps

Factor out \frac{1}{6}.

$$\frac{56x-24}{6}$$

Consider 54x-27+2x+3. Multiply and combine like terms.

$$56x-24$$

Consider 56x-24. Factor out 8.

$$8\left(7x-3\right)$$

Rewrite the complete factored expression.

$$\frac{4\left(7x-3\right)}{3}$$