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

$- 4 (3 + x) + 5 = 4 (x + 3)$

Simplify $- 4 (3 + x) + 5$ .

Simplify each term.

Apply the distributive property.

$- 4 \cdot 3 - 4 x + 5 = 4 (x + 3)$

Multiply $- 4$ by $3$ .

$- 12 - 4 x + 5 = 4 (x + 3)$

Add $- 12$ and $5$ .

$- 4 x - 7 = 4 (x + 3)$

Simplify $4 (x + 3)$ .

Apply the distributive property.

$- 4 x - 7 = 4 x + 4 \cdot 3$

Multiply $4$ by $3$ .

$- 4 x - 7 = 4 x + 12$

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

Subtract $4 x$ from both sides of the equation.

$- 4 x - 7 - 4 x = 12$

Subtract $4 x$ from $- 4 x$ .

$- 8 x - 7 = 12$

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

Add $7$ to both sides of the equation.

$- 8 x = 12 + 7$

Add $12$ and $7$ .

$- 8 x = 19$

Divide each term in $- 8 x = 19$ by $- 8$ and simplify.

Divide each term in $- 8 x = 19$ by $- 8$ .

$\frac{- 8 x}{- 8} = \frac{19}{- 8}$

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 x}{- 8} = \frac{19}{- 8}$

Divide $x$ by $1$ .

$x = \frac{19}{- 8}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{19}{8}$

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{19}{8}$

Decimal Form:

$x = - 2.375$

Mixed Number Form:

$x = - 2 \frac{3}{8}$