Evaluate 10x+60(10-x)=250

$10 x + 60 (10 - x) = 250$

Step 1

Simplify $10 x + 60 (10 - x)$ .

Simplify each term.

Apply the distributive property.

$10 x + 60 \cdot 10 + 60 (- x) = 250$

Multiply $60$ by $10$ .

$10 x + 600 + 60 (- x) = 250$

Multiply $- 1$ by $60$ .

$10 x + 600 - 60 x = 250$

Subtract $60 x$ from $10 x$ .

$- 50 x + 600 = 250$

Step 2

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

Subtract $600$ from both sides of the equation.

$- 50 x = 250 - 600$

Subtract $600$ from $250$ .

$- 50 x = - 350$

Step 3

Divide each term in $- 50 x = - 350$ by $- 50$ and simplify.

Divide each term in $- 50 x = - 350$ by $- 50$ .

$\frac{- 50 x}{- 50} = \frac{- 350}{- 50}$

Simplify the left side.

Cancel the common factor of $- 50$ .

Cancel the common factor.

$\frac{- 50 x}{- 50} = \frac{- 350}{- 50}$

Divide $x$ by $1$ .

$x = \frac{- 350}{- 50}$

Simplify the right side.

Divide $- 350$ by $- 50$ .

$x = 7$