Solve for x 5x-1=x+15

$5 x - 1 = x + 15$

Step 1

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

Subtract $x$ from both sides of the equation.

$5 x - 1 - x = 15$

Subtract $x$ from $5 x$ .

$4 x - 1 = 15$

Step 2

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

Add $1$ to both sides of the equation.

$4 x = 15 + 1$

Add $15$ and $1$ .

$4 x = 16$

Step 3

Divide each term in $4 x = 16$ by $4$ and simplify.

Divide each term in $4 x = 16$ by $4$ .

$\frac{4 x}{4} = \frac{16}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{16}{4}$

Divide $x$ by $1$ .

$x = \frac{16}{4}$

Simplify the right side.

Divide $16$ by $4$ .

$x = 4$