Solve for x (-4(x+3))/-4+5x=45

$\frac{- 4 (x + 3)}{- 4} + 5 x = 45$

Step 1

Simplify $\frac{- 4 (x + 3)}{- 4} + 5 x$ .

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 (x + 3)}{- 4} + 5 x = 45$

Divide $x + 3$ by $1$ .

$x + 3 + 5 x = 45$

Add $x$ and $5 x$ .

$6 x + 3 = 45$

Step 2

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

Subtract $3$ from both sides of the equation.

$6 x = 45 - 3$

Subtract $3$ from $45$ .

$6 x = 42$

Step 3

Divide each term in $6 x = 42$ by $6$ and simplify.

Divide each term in $6 x = 42$ by $6$ .

$\frac{6 x}{6} = \frac{42}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x}{6} = \frac{42}{6}$

Divide $x$ by $1$ .

$x = \frac{42}{6}$

Simplify the right side.

Divide $42$ by $6$ .

$x = 7$