Solve -10-d/2/d=4

$$- \frac{ 10- \frac{ d }{ 2 } }{ d } = 4$$

Solve for d

$$d = -\frac{20}{7} = -2\frac{6}{7} \approx -2.857142857$$

Steps for Solving Linear Equation

Variable d cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by d.

$$-\left(10-\frac{d}{2}\right)=4d$$

To find the opposite of 10-\frac{d}{2}, find the opposite of each term.

$$-10-\left(-\frac{d}{2}\right)=4d$$

Subtract 4d from both sides.

$$-10-\left(-\frac{d}{2}\right)-4d=0$$

Add 10 to both sides. Anything plus zero gives itself.

$$-\left(-\frac{d}{2}\right)-4d=10$$

Multiply both sides of the equation by 2.

$$-2\left(-1\right)\times \frac{d}{2}-8d=20$$

Multiply -2 and -1 to get 2.

$$2\times \frac{d}{2}-8d=20$$

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

$$\frac{2d}{2}-8d=20$$

Cancel out 2 and 2.

$$d-8d=20$$

Combine d and -8d to get -7d.

$$-7d=20$$

Divide both sides by -7.

$$d=\frac{20}{-7}$$

Fraction \frac{20}{-7} can be rewritten as -\frac{20}{7} by extracting the negative sign.

$$d=-\frac{20}{7}$$