Solve [5/14/1]x-[1/1-2/3]

$$[ \frac { 5 } { 1 } \frac { 4 } { 1 } ] x - [ \frac { 1 } { 1 } \frac { - 2 } { 3 } ]$$

Evaluate

$$20x+\frac{2}{3}$$

Solution Steps

Divide 1 by 1 to get 1.

$$\frac{5}{1}\times \frac{4}{1}x-1\times \frac{-2}{3}$$

Anything divided by one gives itself.

$$5\times \frac{4}{1}x-1\times \frac{-2}{3}$$

Anything divided by one gives itself.

$$5\times 4x-1\times \frac{-2}{3}$$

Multiply 5 and 4 to get 20.

$$20x-1\times \frac{-2}{3}$$

Fraction \frac{-2}{3} can be rewritten as -\frac{2}{3} by extracting the negative sign.

$$20x-1\left(-\frac{2}{3}\right)$$

Multiply 1 and -\frac{2}{3} to get -\frac{2}{3}.

$$20x-\left(-\frac{2}{3}\right)$$

The opposite of -\frac{2}{3} is \frac{2}{3}.

$$20x+\frac{2}{3}$$

Factor

$$\frac{2\left(30x+1\right)}{3}$$

Solution Steps

Factor out \frac{2}{3}.

$$\frac{2\left(30x+1\right)}{3}$$