Solve for u 69u-12.1-31.3=67u-21.4

$69 u - 12.1 - 31.3 = 67 u - 21.4$

Subtract $31.3$ from $- 12.1$ .

$69 u - 43.4 = 67 u - 21.4$

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

Subtract $67 u$ from both sides of the equation.

$69 u - 43.4 - 67 u = - 21.4$

Subtract $67 u$ from $69 u$ .

$2 u - 43.4 = - 21.4$

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

Add $43.4$ to both sides of the equation.

$2 u = - 21.4 + 43.4$

Add $- 21.4$ and $43.4$ .

$2 u = 22$

Divide each term in $2 u = 22$ by $2$ and simplify.

Divide each term in $2 u = 22$ by $2$ .

$\frac{2 u}{2} = \frac{22}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 u}{2} = \frac{22}{2}$

Divide $u$ by $1$ .

$u = \frac{22}{2}$

Simplify the right side.

Divide $22$ by $2$ .

$u = 11$