Solve 5zdiv2x+8x+3y-4z

$$5 z \div 2 x + 8 x + 3 y - 4 z$$

Evaluate

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

Short Solution Steps

Express \frac{5z}{2}x as a single fraction.

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

To add or subtract expressions, expand them to make their denominators the same. Multiply 8x+3y-4z times \frac{2}{2}.

$$\frac{5zx}{2}+\frac{2\left(8x+3y-4z\right)}{2}$$

Since \frac{5zx}{2} and \frac{2\left(8x+3y-4z\right)}{2} have the same denominator, add them by adding their numerators.

$$\frac{5zx+2\left(8x+3y-4z\right)}{2}$$

Do the multiplications in 5zx+2\left(8x+3y-4z\right).

$$\frac{5zx+16x+6y-8z}{2}$$

Factor

$$\frac{5xz+16x+6y-8z}{2}$$

Solution Steps

Factor out \frac{1}{2}.

$$\frac{5zx+16x+6y-8z}{2}$$