Solve for w 7w+2=3w+94

$7 w + 2 = 3 w + 94$

Step 1

Move all terms containing $w$ to the left side of the equation.

Subtract $3 w$ from both sides of the equation.

$7 w + 2 - 3 w = 94$

Subtract $3 w$ from $7 w$ .

$4 w + 2 = 94$

Step 2

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

Subtract $2$ from both sides of the equation.

$4 w = 94 - 2$

Subtract $2$ from $94$ .

$4 w = 92$

Step 3

Divide each term in $4 w = 92$ by $4$ and simplify.

Divide each term in $4 w = 92$ by $4$ .

$\frac{4 w}{4} = \frac{92}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 w}{4} = \frac{92}{4}$

Divide $w$ by $1$ .

$w = \frac{92}{4}$

Simplify the right side.

Divide $92$ by $4$ .

$w = 23$