Solve for w -2/3w+5=4

$- \frac{2}{3} w + 5 = 4$

Step 1

Simplify each term.

Combine $w$ and $\frac{2}{3}$ .

$- \frac{w \cdot 2}{3} + 5 = 4$

Move $2$ to the left of $w$ .

$- \frac{2 w}{3} + 5 = 4$

Step 2

Move all terms not containing $w$ to the right side of the equation.

Subtract $5$ from both sides of the equation.

$- \frac{2 w}{3} = 4 - 5$

Subtract $5$ from $4$ .

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

Step 3

Multiply both sides of the equation by $- \frac{3}{2}$ .

$- \frac{3}{2} (- \frac{2 w}{3}) = - \frac{3}{2} \cdot - 1$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Simplify $- \frac{3}{2} (- \frac{2 w}{3})$ .

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{3}{2}$ into the numerator.

$\frac{- 3}{2} (- \frac{2 w}{3}) = - \frac{3}{2} \cdot - 1$

Move the leading negative in $- \frac{2 w}{3}$ into the numerator.

$\frac{- 3}{2} \cdot \frac{- 2 w}{3} = - \frac{3}{2} \cdot - 1$

Factor $3$ out of $- 3$ .

$\frac{3 (- 1)}{2} \cdot \frac{- 2 w}{3} = - \frac{3}{2} \cdot - 1$

Cancel the common factor.

$\frac{3 \cdot - 1}{2} \cdot \frac{- 2 w}{3} = - \frac{3}{2} \cdot - 1$

Rewrite the expression.

$\frac{- 1}{2} (- 2 w) = - \frac{3}{2} \cdot - 1$

Cancel the common factor of $2$ .

Factor $2$ out of $- 2 w$ .

$\frac{- 1}{2} (2 (- w)) = - \frac{3}{2} \cdot - 1$

Cancel the common factor.

$\frac{- 1}{2} (2 (- w)) = - \frac{3}{2} \cdot - 1$

Rewrite the expression.

$- - w = - \frac{3}{2} \cdot - 1$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 w = - \frac{3}{2} \cdot - 1$

Multiply $w$ by $1$ .

$w = - \frac{3}{2} \cdot - 1$

Simplify the right side.

Multiply $- \frac{3}{2} \cdot - 1$ .

Multiply $- 1$ by $- 1$ .

$w = 1 (\frac{3}{2})$

Multiply $\frac{3}{2}$ by $1$ .

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

Step 5

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$w = 1.5$

Mixed Number Form:

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

Solve for w -2/3w+5=4

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