Solve 6(w-4)+8w=2(w+9)

$$6 ( w - 4 ) + 8 w = 2 ( w + 9 )$$

Solve for w

$$w = \frac{7}{2} = 3\frac{1}{2} = 3.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by w-4.

$$6w-24+8w=2\left(w+9\right)$$

Combine 6w and 8w to get 14w.

$$14w-24=2\left(w+9\right)$$

Use the distributive property to multiply 2 by w+9.

$$14w-24=2w+18$$

Subtract 2w from both sides.

$$14w-24-2w=18$$

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

$$12w-24=18$$

Add 24 to both sides.

$$12w=18+24$$

Add 18 and 24 to get 42.

$$12w=42$$

Divide both sides by 12.

$$w=\frac{42}{12}$$

Reduce the fraction \frac{42}{12} to lowest terms by extracting and canceling out 6.

$$w=\frac{7}{2}$$