Solve for u -83=2u+3u-18

$- 83 = 2 u + 3 u - 18$

Step 1

Rewrite the equation as $2 u + 3 u - 18 = - 83$ .

$2 u + 3 u - 18 = - 83$

Step 2

Add $2 u$ and $3 u$ .

$5 u - 18 = - 83$

Step 3

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

Add $18$ to both sides of the equation.

$5 u = - 83 + 18$

Add $- 83$ and $18$ .

$5 u = - 65$

Step 4

Divide each term in $5 u = - 65$ by $5$ and simplify.

Divide each term in $5 u = - 65$ by $5$ .

$\frac{5 u}{5} = \frac{- 65}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 u}{5} = \frac{- 65}{5}$

Divide $u$ by $1$ .

$u = \frac{- 65}{5}$

Simplify the right side.

Divide $- 65$ by $5$ .

$u = - 13$