Solve 3(w+4)=5w-4+2(3w+4)

$$3 ( w + 4 ) = 5 w - 4 + 2 ( 3 w + 4 )$$

Solve for w

$$w=1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by w+4.

$$3w+12=5w-4+2\left(3w+4\right)$$

Use the distributive property to multiply 2 by 3w+4.

$$3w+12=5w-4+6w+8$$

Combine 5w and 6w to get 11w.

$$3w+12=11w-4+8$$

Add -4 and 8 to get 4.

$$3w+12=11w+4$$

Subtract 11w from both sides.

$$3w+12-11w=4$$

Combine 3w and -11w to get -8w.

$$-8w+12=4$$

Subtract 12 from both sides.

$$-8w=4-12$$

Subtract 12 from 4 to get -8.

$$-8w=-8$$

Divide both sides by -8.

$$w=\frac{-8}{-8}$$

Divide -8 by -8 to get 1.

$$w=1$$