Solve for x 4(x+9)-5(x-7)=73

$4 (x + 9) - 5 (x - 7) = 73$

Step 1

Simplify $4 (x + 9) - 5 (x - 7)$ .

Simplify each term.

Apply the distributive property.

$4 x + 4 \cdot 9 - 5 (x - 7) = 73$

Multiply $4$ by $9$ .

$4 x + 36 - 5 (x - 7) = 73$

Apply the distributive property.

$4 x + 36 - 5 x - 5 \cdot - 7 = 73$

Multiply $- 5$ by $- 7$ .

$4 x + 36 - 5 x + 35 = 73$

Simplify by adding terms.

Subtract $5 x$ from $4 x$ .

$- x + 36 + 35 = 73$

Add $36$ and $35$ .

$- x + 71 = 73$

Step 2

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

Subtract $71$ from both sides of the equation.

$- x = 73 - 71$

Subtract $71$ from $73$ .

$- x = 2$

Step 3

Divide each term in $- x = 2$ by $- 1$ and simplify.

Divide each term in $- x = 2$ by $- 1$ .

$\frac{- x}{- 1} = \frac{2}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{2}{- 1}$

Divide $x$ by $1$ .

$x = \frac{2}{- 1}$

Simplify the right side.

Divide $2$ by $- 1$ .

$x = - 2$