Solve 3=w+4/6+3w+8/7

$$3 = \frac { w + 4 } { 6 } + \frac { 3 w + 8 } { 7 }$$

Solve for w

$$w=2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 42, the least common multiple of 6,7.

$$126=7\left(w+4\right)+6\left(3w+8\right)$$

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

$$126=7w+28+6\left(3w+8\right)$$

Use the distributive property to multiply 6 by 3w+8.

$$126=7w+28+18w+48$$

Combine 7w and 18w to get 25w.

$$126=25w+28+48$$

Add 28 and 48 to get 76.

$$126=25w+76$$

Swap sides so that all variable terms are on the left hand side.

$$25w+76=126$$

Subtract 76 from both sides.

$$25w=126-76$$

Subtract 76 from 126 to get 50.

$$25w=50$$

Divide both sides by 25.

$$w=\frac{50}{25}$$

Divide 50 by 25 to get 2.

$$w=2$$