Solve for x (x+a)/(a+1)=1

$\frac{x + a}{a + 1} = 1$

Multiply both sides by $a + 1$ .

$\frac{x + a}{a + 1} (a + 1) = 1 (a + 1)$

Simplify.

Simplify the left side.

Simplify $\frac{x + a}{a + 1} (a + 1)$ .

Cancel the common factor of $a + 1$ .

Cancel the common factor.

$\frac{x + a}{a + 1} (a + 1) = 1 (a + 1)$

Rewrite the expression.

$x + a = 1 (a + 1)$

Reorder $x$ and $a$ .

$a + x = 1 (a + 1)$

Simplify the right side.

Multiply $a + 1$ by $1$ .

$a + x = a + 1$

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

Subtract $a$ from both sides of the equation.

$x = a + 1 - a$

Combine the opposite terms in $a + 1 - a$ .

Subtract $a$ from $a$ .

$x = 0 + 1$

Add $0$ and $1$ .

$x = 1$