Solve for w 43=7w-15-5w

$43 = 7 w - 15 - 5 w$

Step 1

Rewrite the equation as $7 w - 15 - 5 w = 43$ .

$7 w - 15 - 5 w = 43$

Step 2

Subtract $5 w$ from $7 w$ .

$2 w - 15 = 43$

Step 3

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

Add $15$ to both sides of the equation.

$2 w = 43 + 15$

Add $43$ and $15$ .

$2 w = 58$

Step 4

Divide each term in $2 w = 58$ by $2$ and simplify.

Divide each term in $2 w = 58$ by $2$ .

$\frac{2 w}{2} = \frac{58}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 w}{2} = \frac{58}{2}$

Divide $w$ by $1$ .

$w = \frac{58}{2}$

Simplify the right side.

Divide $58$ by $2$ .

$w = 29$