Solve for x -5(x+3)=2x+7+5x

$- 5 (x + 3) = 2 x + 7 + 5 x$

Step 1

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$2 x + 7 + 5 x = - 5 (x + 3)$

Step 2

Add $2 x$ and $5 x$ .

$7 x + 7 = - 5 (x + 3)$

Step 3

Simplify $- 5 (x + 3)$ .

Apply the distributive property.

$7 x + 7 = - 5 x - 5 \cdot 3$

Multiply $- 5$ by $3$ .

$7 x + 7 = - 5 x - 15$

Step 4

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

Add $5 x$ to both sides of the equation.

$7 x + 7 + 5 x = - 15$

Add $7 x$ and $5 x$ .

$12 x + 7 = - 15$

Step 5

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

Subtract $7$ from both sides of the equation.

$12 x = - 15 - 7$

Subtract $7$ from $- 15$ .

$12 x = - 22$

Step 6

Divide each term in $12 x = - 22$ by $12$ and simplify.

Divide each term in $12 x = - 22$ by $12$ .

$\frac{12 x}{12} = \frac{- 22}{12}$

Simplify the left side.

Cancel the common factor of $12$ .

Cancel the common factor.

$\frac{12 x}{12} = \frac{- 22}{12}$

Divide $x$ by $1$ .

$x = \frac{- 22}{12}$

Simplify the right side.

Cancel the common factor of $- 22$ and $12$ .

Factor $2$ out of $- 22$ .

$x = \frac{2 (- 11)}{12}$

Cancel the common factors.

Factor $2$ out of $12$ .

$x = \frac{2 \cdot - 11}{2 \cdot 6}$

Cancel the common factor.

$x = \frac{2 \cdot - 11}{2 \cdot 6}$

Rewrite the expression.

$x = \frac{- 11}{6}$

Move the negative in front of the fraction.

$x = - \frac{11}{6}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{11}{6}$

Decimal Form:

$x = - 1.8\overline{3}$

Mixed Number Form:

$x = - 1 \frac{5}{6}$

Solve for x -5(x+3)=2x+7+5x

Related Questions

Support LCMGCF.com by disabling your adblocker.