Solve 4x-(3ydiv2x)

$$4 x - ( 3 y \div 2 x )$$

Evaluate

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

Short Solution Steps

Express \frac{3y}{2}x as a single fraction.

$$4x-\frac{3yx}{2}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 4x times \frac{2}{2}.

$$\frac{2\times 4x}{2}-\frac{3yx}{2}$$

Since \frac{2\times 4x}{2} and \frac{3yx}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2\times 4x-3yx}{2}$$

Do the multiplications in 2\times 4x-3yx.

$$\frac{8x-3yx}{2}$$

Factor

$$\frac{x\left(8-3y\right)}{2}$$

Solution Steps

Factor out \frac{1}{2}.

$$\frac{8x-3yx}{2}$$

Consider 8x-3yx. Factor out x.

$$x\left(8-3y\right)$$

Rewrite the complete factored expression.

$$\frac{x\left(-3y+8\right)}{2}$$