Solve for u 2.5-0.5u=0.5u-1+0.75u

$2.5 - 0.5 u = 0.5 u - 1 + 0.75 u$

Since $u$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$0.5 u - 1 + 0.75 u = 2.5 - 0.5 u$

Add $0.5 u$ and $0.75 u$ .

$1.25 u - 1 = 2.5 - 0.5 u$

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

Add $0.5 u$ to both sides of the equation.

$1.25 u - 1 + 0.5 u = 2.5$

Add $1.25 u$ and $0.5 u$ .

$1.75 u - 1 = 2.5$

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

Add $1$ to both sides of the equation.

$1.75 u = 2.5 + 1$

Add $2.5$ and $1$ .

$1.75 u = 3.5$

Divide each term in $1.75 u = 3.5$ by $1.75$ and simplify.

Divide each term in $1.75 u = 3.5$ by $1.75$ .

$\frac{1.75 u}{1.75} = \frac{3.5}{1.75}$

Simplify the left side.

Cancel the common factor of $1.75$ .

Cancel the common factor.

$\frac{1.75 u}{1.75} = \frac{3.5}{1.75}$

Divide $u$ by $1$ .

$u = \frac{3.5}{1.75}$

Simplify the right side.

Divide $3.5$ by $1.75$ .

$u = 2$