Solve 2(w-2)/9-1=w+1

$$\frac { 2 ( w - 2 ) } { 9 } - 1 = w + 1$$

Solve for w

$$w = -\frac{22}{7} = -3\frac{1}{7} \approx -3.142857143$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 9.

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

Use the distributive property to multiply 2 by w-2.

$$2w-4-9=9w+9$$

Subtract 9 from -4 to get -13.

$$2w-13=9w+9$$

Subtract 9w from both sides.

$$2w-13-9w=9$$

Combine 2w and -9w to get -7w.

$$-7w-13=9$$

Add 13 to both sides.

$$-7w=9+13$$

Add 9 and 13 to get 22.

$$-7w=22$$

Divide both sides by -7.

$$w=\frac{22}{-7}$$

Fraction \frac{22}{-7} can be rewritten as -\frac{22}{7} by extracting the negative sign.

$$w=-\frac{22}{7}$$