Solve d+7/3+4=-5d/4

$$\frac { d + 7 } { 3 } + 4 = - \frac { 5 d } { 4 }$$

Solve for d

$$d=-4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,4.

$$4\left(d+7\right)+48=-3\times 5d$$

Use the distributive property to multiply 4 by d+7.

$$4d+28+48=-3\times 5d$$

Add 28 and 48 to get 76.

$$4d+76=-3\times 5d$$

Multiply -3 and 5 to get -15.

$$4d+76=-15d$$

Add 15d to both sides.

$$4d+76+15d=0$$

Combine 4d and 15d to get 19d.

$$19d+76=0$$

Subtract 76 from both sides. Anything subtracted from zero gives its negation.

$$19d=-76$$

Divide both sides by 19.

$$d=\frac{-76}{19}$$

Divide -76 by 19 to get -4.

$$d=-4$$