Solve for x2 (6(x_1-x_2))/m=b

$\frac{6 (x_{1} - x_{2})}{m} = b$

Step 1

Multiply both sides by $m$ .

$\frac{6 (x_{1} - x_{2})}{m} m = b m$

Step 2

Simplify the left side.

Simplify $\frac{6 (x_{1} - x_{2})}{m} m$ .

Cancel the common factor of $m$ .

Cancel the common factor.

$\frac{6 (x_{1} - x_{2})}{m} m = b m$

Rewrite the expression.

$6 (x_{1} - x_{2}) = b m$

Apply the distributive property.

$6 x_{1} + 6 (- x_{2}) = b m$

Multiply $- 1$ by $6$ .

$6 x_{1} - 6 x_{2} = b m$

Step 3

Solve for $x_{1}$ .

Add $6 x_{2}$ to both sides of the equation.

$6 x_{1} = b m + 6 x_{2}$

Divide each term in $6 x_{1} = b m + 6 x_{2}$ by $6$ and simplify.

Divide each term in $6 x_{1} = b m + 6 x_{2}$ by $6$ .

$\frac{6 x_{1}}{6} = \frac{b m}{6} + \frac{6 x_{2}}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x_{1}}{6} = \frac{b m}{6} + \frac{6 x_{2}}{6}$

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

$x_{1} = \frac{b m}{6} + \frac{6 x_{2}}{6}$

Simplify the right side.

Cancel the common factor of $6$ .

Cancel the common factor.

$x_{1} = \frac{b m}{6} + \frac{6 x_{2}}{6}$

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

$x_{1} = \frac{b m}{6} + x_{2}$