Solve for x 11x+25=7x+15

$11 x + 25 = 7 x + 15$

Step 1

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

Subtract $7 x$ from both sides of the equation.

$11 x + 25 - 7 x = 15$

Subtract $7 x$ from $11 x$ .

$4 x + 25 = 15$

Step 2

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

Subtract $25$ from both sides of the equation.

$4 x = 15 - 25$

Subtract $25$ from $15$ .

$4 x = - 10$

Step 3

Divide each term in $4 x = - 10$ by $4$ and simplify.

Divide each term in $4 x = - 10$ by $4$ .

$\frac{4 x}{4} = \frac{- 10}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{- 10}{4}$

Divide $x$ by $1$ .

$x = \frac{- 10}{4}$

Simplify the right side.

Cancel the common factor of $- 10$ and $4$ .

Factor $2$ out of $- 10$ .

$x = \frac{2 (- 5)}{4}$

Cancel the common factors.

Factor $2$ out of $4$ .

$x = \frac{2 \cdot - 5}{2 \cdot 2}$

Cancel the common factor.

$x = \frac{2 \cdot - 5}{2 \cdot 2}$

Rewrite the expression.

$x = \frac{- 5}{2}$

Move the negative in front of the fraction.

$x = - \frac{5}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{5}{2}$

Decimal Form:

$x = - 2.5$

Mixed Number Form:

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