Solve 3(w+2)+w=4(w-1)div9

$$3 ( w + 2 ) + w = 4 ( w - 1 ) \div 9$$

Solve for w

$$w = -\frac{29}{16} = -1\frac{13}{16} = -1.8125$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 9.

$$27\left(w+2\right)+9w=4\left(w-1\right)$$

Use the distributive property to multiply 27 by w+2.

$$27w+54+9w=4\left(w-1\right)$$

Combine 27w and 9w to get 36w.

$$36w+54=4\left(w-1\right)$$

Use the distributive property to multiply 4 by w-1.

$$36w+54=4w-4$$

Subtract 4w from both sides.

$$36w+54-4w=-4$$

Combine 36w and -4w to get 32w.

$$32w+54=-4$$

Subtract 54 from both sides.

$$32w=-4-54$$

Subtract 54 from -4 to get -58.

$$32w=-58$$

Divide both sides by 32.

$$w=\frac{-58}{32}$$

Reduce the fraction \frac{-58}{32} to lowest terms by extracting and canceling out 2.

$$w=-\frac{29}{16}$$