Solve for x 7x-4=5x+15

$7 x - 4 = 5 x + 15$

Step 1

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

Subtract $5 x$ from both sides of the equation.

$7 x - 4 - 5 x = 15$

Subtract $5 x$ from $7 x$ .

$2 x - 4 = 15$

Step 2

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

Add $4$ to both sides of the equation.

$2 x = 15 + 4$

Add $15$ and $4$ .

$2 x = 19$

Step 3

Divide each term in $2 x = 19$ by $2$ and simplify.

Divide each term in $2 x = 19$ by $2$ .

$\frac{2 x}{2} = \frac{19}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{19}{2}$

Divide $x$ by $1$ .

$x = \frac{19}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{19}{2}$

Decimal Form:

$x = 9.5$

Mixed Number Form:

$x = 9 \frac{1}{2}$