Solve 1+2/3w+1/2=2w

$$1 + \frac { 2 } { 3 } w + \frac { 1 } { 2 } = 2 w$$

Solve for w

$$w = \frac{9}{8} = 1\frac{1}{8} = 1.125$$

Steps for Solving Linear Equation

Convert 1 to fraction \frac{2}{2}.

$$\frac{2}{2}+\frac{2}{3}w+\frac{1}{2}=2w$$

Since \frac{2}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{2+1}{2}+\frac{2}{3}w=2w$$

Add 2 and 1 to get 3.

$$\frac{3}{2}+\frac{2}{3}w=2w$$

Subtract 2w from both sides.

$$\frac{3}{2}+\frac{2}{3}w-2w=0$$

Combine \frac{2}{3}w and -2w to get -\frac{4}{3}w.

$$\frac{3}{2}-\frac{4}{3}w=0$$

Subtract \frac{3}{2} from both sides. Anything subtracted from zero gives its negation.

$$-\frac{4}{3}w=-\frac{3}{2}$$

Multiply both sides by -\frac{3}{4}, the reciprocal of -\frac{4}{3}.

$$w=-\frac{3}{2}\left(-\frac{3}{4}\right)$$

Multiply -\frac{3}{2} times -\frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$w=\frac{-3\left(-3\right)}{2\times 4}$$

Do the multiplications in the fraction \frac{-3\left(-3\right)}{2\times 4}.

$$w=\frac{9}{8}$$