Solve x+5y-3x/2

$$x + 5 y - 3 x / 2$$

Evaluate

$$-\frac{x}{2}+5y$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply x+5y times \frac{2}{2}.

$$\frac{2\left(x+5y\right)}{2}-\frac{3x}{2}$$

Since \frac{2\left(x+5y\right)}{2} and \frac{3x}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2\left(x+5y\right)-3x}{2}$$

Do the multiplications in 2\left(x+5y\right)-3x.

$$\frac{2x+10y-3x}{2}$$

Combine like terms in 2x+10y-3x.

$$\frac{-x+10y}{2}$$

Factor

$$\frac{10y-x}{2}$$

Solution Steps

Factor out \frac{1}{2}.

$$\frac{2x+10y-3x}{2}$$

Consider 2x+10y-3x. Multiply and combine like terms.

$$-x+10y$$

Rewrite the complete factored expression.

$$\frac{-x+10y}{2}$$