Solve 15/7(d+3)=-2(1-d)

$$1 \frac { 5 } { 7 } ( d + 3 ) = - 2 ( 1 - d )$$

Solve for d

$$d=25$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 7.

$$\left(1\times 7+5\right)\left(d+3\right)=-14\left(1-d\right)$$

Multiply 1 and 7 to get 7.

$$\left(7+5\right)\left(d+3\right)=-14\left(1-d\right)$$

Add 7 and 5 to get 12.

$$12\left(d+3\right)=-14\left(1-d\right)$$

Use the distributive property to multiply 12 by d+3.

$$12d+36=-14\left(1-d\right)$$

Use the distributive property to multiply -14 by 1-d.

$$12d+36=-14+14d$$

Subtract 14d from both sides.

$$12d+36-14d=-14$$

Combine 12d and -14d to get -2d.

$$-2d+36=-14$$

Subtract 36 from both sides.

$$-2d=-14-36$$

Subtract 36 from -14 to get -50.

$$-2d=-50$$

Divide both sides by -2.

$$d=\frac{-50}{-2}$$

Divide -50 by -2 to get 25.

$$d=25$$