Algebra Examples

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

Step 1

Multiply both sides by $a + 1$ .

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

Step 2

Simplify.

Tap for more steps...

Step 2.1

Simplify the left side.

Tap for more steps...

Step 2.1.1

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

Tap for more steps...

Step 2.1.1.1

Cancel the common factor of $a + 1$ .

Tap for more steps...

Step 2.1.1.1.1

Cancel the common factor.

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

Step 2.1.1.1.2

Rewrite the expression.

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

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

Step 2.1.1.2

Reorder $x$ and $a$ .

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

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

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

Step 2.2

Simplify the right side.

Tap for more steps...

Step 2.2.1

Multiply $a + 1$ by $1$ .

$a + x = a + 1$

$a + x = a + 1$

$a + x = a + 1$

Step 3

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

Tap for more steps...

Step 3.1

Subtract $a$ from both sides of the equation.

$x = a + 1 - a$

Step 3.2

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

Tap for more steps...

Step 3.2.1

Subtract $a$ from $a$ .

$x = 0 + 1$

Step 3.2.2

Add $0$ and $1$ .

$x = 1$

$x = 1$

$x = 1$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$