Solve L:2*(18-1)-3*(18-2)

$$L : 2 \cdot ( 18 - 1 ) - 3 \cdot ( 18 - 2 )$$

Evaluate

$$\frac{17L}{2}-48$$

Short Solution Steps

Subtract 1 from 18 to get 17.

$$\frac{L}{2}\times 17-3\left(18-2\right)$$

Express \frac{L}{2}\times 17 as a single fraction.

$$\frac{L\times 17}{2}-3\left(18-2\right)$$

Subtract 2 from 18 to get 16.

$$\frac{L\times 17}{2}-3\times 16$$

Multiply 3 and 16 to get 48.

$$\frac{L\times 17}{2}-48$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 48 times \frac{2}{2}.

$$\frac{L\times 17}{2}-\frac{48\times 2}{2}$$

Since \frac{L\times 17}{2} and \frac{48\times 2}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{L\times 17-48\times 2}{2}$$

Do the multiplications in L\times 17-48\times 2.

$$\frac{L\times 17-96}{2}$$

Expand

$$\frac{17L}{2}-48$$

Short Solution Steps

Subtract 1 from 18 to get 17.

$$\frac{L}{2}\times 17-3\left(18-2\right)$$

Express \frac{L}{2}\times 17 as a single fraction.

$$\frac{L\times 17}{2}-3\left(18-2\right)$$

Subtract 2 from 18 to get 16.

$$\frac{L\times 17}{2}-3\times 16$$

Multiply 3 and 16 to get 48.

$$\frac{L\times 17}{2}-48$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 48 times \frac{2}{2}.

$$\frac{L\times 17}{2}-\frac{48\times 2}{2}$$

Since \frac{L\times 17}{2} and \frac{48\times 2}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{L\times 17-48\times 2}{2}$$

Do the multiplications in L\times 17-48\times 2.

$$\frac{L\times 17-96}{2}$$