Solve for u 19u=7(5u-20)-20

$19 u = 7 (5 u - 20) - 20$

Simplify $7 (5 u - 20) - 20$ .

Simplify each term.

Apply the distributive property.

$19 u = 7 (5 u) + 7 \cdot - 20 - 20$

Multiply $5$ by $7$ .

$19 u = 35 u + 7 \cdot - 20 - 20$

Multiply $7$ by $- 20$ .

$19 u = 35 u - 140 - 20$

Subtract $20$ from $- 140$ .

$19 u = 35 u - 160$

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

Subtract $35 u$ from both sides of the equation.

$19 u - 35 u = - 160$

Subtract $35 u$ from $19 u$ .

$- 16 u = - 160$

Divide each term in $- 16 u = - 160$ by $- 16$ and simplify.

Divide each term in $- 16 u = - 160$ by $- 16$ .

$\frac{- 16 u}{- 16} = \frac{- 160}{- 16}$

Simplify the left side.

Cancel the common factor of $- 16$ .

Cancel the common factor.

$\frac{- 16 u}{- 16} = \frac{- 160}{- 16}$

Divide $u$ by $1$ .

$u = \frac{- 160}{- 16}$

Simplify the right side.

Divide $- 160$ by $- 16$ .

$u = 10$