Solve 5(-6-3d)=3(8+7d)

$$5 ( - 6 - 3 d ) = 3 ( 8 + 7 d )$$

Solve for d

$$d = -\frac{3}{2} = -1\frac{1}{2} = -1.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by -6-3d.

$$-30-15d=3\left(8+7d\right)$$

Use the distributive property to multiply 3 by 8+7d.

$$-30-15d=24+21d$$

Subtract 21d from both sides.

$$-30-15d-21d=24$$

Combine -15d and -21d to get -36d.

$$-30-36d=24$$

Add 30 to both sides.

$$-36d=24+30$$

Add 24 and 30 to get 54.

$$-36d=54$$

Divide both sides by -36.

$$d=\frac{54}{-36}$$

Reduce the fraction \frac{54}{-36} to lowest terms by extracting and canceling out 18.

$$d=-\frac{3}{2}$$