Algebra Examples

$\frac{3 (x_{1} - x_{2})}{m} = B$

Step 1

Multiply both sides by $m$ .

$\frac{3 (x_{1} - x_{2})}{m} m = B m$

Step 2

Simplify the left side.

Tap for more steps...

Step 2.1

Simplify $\frac{3 (x_{1} - x_{2})}{m} m$ .

Tap for more steps...

Step 2.1.1

Cancel the common factor of $m$ .

Tap for more steps...

Step 2.1.1.1

Cancel the common factor.

$\frac{3 (x_{1} - x_{2})}{m} m = B m$

Step 2.1.1.2

Rewrite the expression.

$3 (x_{1} - x_{2}) = B m$

Step 2.1.2

Apply the distributive property.

$3 x_{1} + 3 (- x_{2}) = B m$

Step 2.1.3

Multiply $- 1$ by $3$ .

$3 x_{1} - 3 x_{2} = B m$

Step 3

Solve for $x_{1}$ .

Tap for more steps...

Step 3.1

Add $3 x_{2}$ to both sides of the equation.

$3 x_{1} = B m + 3 x_{2}$

Step 3.2

Divide each term in $3 x_{1} = B m + 3 x_{2}$ by $3$ and simplify.

Tap for more steps...

Step 3.2.1

Divide each term in $3 x_{1} = B m + 3 x_{2}$ by $3$ .

$\frac{3 x_{1}}{3} = \frac{B m}{3} + \frac{3 x_{2}}{3}$

Step 3.2.2

Simplify the left side.

Tap for more steps...

Step 3.2.2.1

Cancel the common factor of $3$ .

Tap for more steps...

Step 3.2.2.1.1

Cancel the common factor.

$\frac{3 x_{1}}{3} = \frac{B m}{3} + \frac{3 x_{2}}{3}$

Step 3.2.2.1.2

Divide $x_{1}$ by $1$ .

$x_{1} = \frac{B m}{3} + \frac{3 x_{2}}{3}$

Step 3.2.3

Simplify the right side.

Tap for more steps...

Step 3.2.3.1

Cancel the common factor of $3$ .

Tap for more steps...

Step 3.2.3.1.1

Cancel the common factor.

$x_{1} = \frac{B m}{3} + \frac{3 x_{2}}{3}$

Step 3.2.3.1.2

Divide $x_{2}$ by $1$ .

$x_{1} = \frac{B m}{3} + x_{2}$