Solve 3(2-d)/5=-2(d+2)/6

$$\frac { 3 ( 2 - d ) } { 5 } = - \frac { 2 ( d + 2 ) } { 6 }$$

Solve for d

$$d=7$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 5,6.

$$6\times 3\left(2-d\right)=-5\times 2\left(d+2\right)$$

Multiply 6 and 3 to get 18.

$$18\left(2-d\right)=-5\times 2\left(d+2\right)$$

Use the distributive property to multiply 18 by 2-d.

$$36-18d=-5\times 2\left(d+2\right)$$

Multiply -5 and 2 to get -10.

$$36-18d=-10\left(d+2\right)$$

Use the distributive property to multiply -10 by d+2.

$$36-18d=-10d-20$$

Add 10d to both sides.

$$36-18d+10d=-20$$

Combine -18d and 10d to get -8d.

$$36-8d=-20$$

Subtract 36 from both sides.

$$-8d=-20-36$$

Subtract 36 from -20 to get -56.

$$-8d=-56$$

Divide both sides by -8.

$$d=\frac{-56}{-8}$$

Divide -56 by -8 to get 7.

$$d=7$$