Solve 5x-6+3*5div8+8x-xdiv3^2

$$5x-6+3 \times 5 \div 8+8x-x \div { 3 }^{ 2 }$$

Evaluate

$$\frac{116x}{9}-\frac{33}{8}$$

Solution Steps

Multiply 3 and 5 to get 15.

$$5x-6+\frac{15}{8}+8x-\frac{x}{3^{2}}$$

Convert -6 to fraction -\frac{48}{8}.

$$5x-\frac{48}{8}+\frac{15}{8}+8x-\frac{x}{3^{2}}$$

Since -\frac{48}{8} and \frac{15}{8} have the same denominator, add them by adding their numerators.

$$5x+\frac{-48+15}{8}+8x-\frac{x}{3^{2}}$$

Add -48 and 15 to get -33.

$$5x-\frac{33}{8}+8x-\frac{x}{3^{2}}$$

Combine 5x and 8x to get 13x.

$$13x-\frac{33}{8}-\frac{x}{3^{2}}$$

Calculate 3 to the power of 2 and get 9.

$$13x-\frac{33}{8}-\frac{x}{9}$$

Combine 13x and -\frac{x}{9} to get \frac{116}{9}x.

$$\frac{116}{9}x-\frac{33}{8}$$

Factor

$$\frac{928x-297}{72}$$

Solution Steps

Multiply 3 and 5 to get 15.

$$factor(5x-6+\frac{15}{8}+8x-\frac{x}{3^{2}})$$

Convert -6 to fraction -\frac{48}{8}.

$$factor(5x-\frac{48}{8}+\frac{15}{8}+8x-\frac{x}{3^{2}})$$

Since -\frac{48}{8} and \frac{15}{8} have the same denominator, add them by adding their numerators.

$$factor(5x+\frac{-48+15}{8}+8x-\frac{x}{3^{2}})$$

Add -48 and 15 to get -33.

$$factor(5x-\frac{33}{8}+8x-\frac{x}{3^{2}})$$

Combine 5x and 8x to get 13x.

$$factor(13x-\frac{33}{8}-\frac{x}{3^{2}})$$

Calculate 3 to the power of 2 and get 9.

$$factor(13x-\frac{33}{8}-\frac{x}{9})$$

Combine 13x and -\frac{x}{9} to get \frac{116}{9}x.

$$factor(\frac{116}{9}x-\frac{33}{8})$$

Factor out \frac{1}{72}.

$$\frac{928x-297}{72}$$