Solve 2x+5/8-3/8-3x/4

$$\frac { 2 x + 5 } { 8 } - \frac { 3 } { 8 } - \frac { 3 x } { 4 }$$

Evaluate

$$-\frac{x}{2}+\frac{1}{4}$$

Short Solution Steps

Since \frac{2x+5}{8} and \frac{3}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2x+5-3}{8}-\frac{3x}{4}$$

Combine like terms in 2x+5-3.

$$\frac{2x+2}{8}-\frac{3x}{4}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 8 and 4 is 8. Multiply \frac{3x}{4} times \frac{2}{2}.

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

Since \frac{2x+2}{8} and \frac{2\times 3x}{8} have the same denominator, subtract them by subtracting their numerators.

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

Do the multiplications in 2x+2-2\times 3x.

$$\frac{2x+2-6x}{8}$$

Combine like terms in 2x+2-6x.

$$\frac{-4x+2}{8}$$

Expand

$$-\frac{x}{2}+\frac{1}{4}$$

Short Solution Steps

Since \frac{2x+5}{8} and \frac{3}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2x+5-3}{8}-\frac{3x}{4}$$

Combine like terms in 2x+5-3.

$$\frac{2x+2}{8}-\frac{3x}{4}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 8 and 4 is 8. Multiply \frac{3x}{4} times \frac{2}{2}.

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

Since \frac{2x+2}{8} and \frac{2\times 3x}{8} have the same denominator, subtract them by subtracting their numerators.

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

Do the multiplications in 2x+2-2\times 3x.

$$\frac{2x+2-6x}{8}$$

Combine like terms in 2x+2-6x.

$$\frac{-4x+2}{8}$$