Solve for x x+7/6=2x-7/6

$x + \frac{7}{6} = 2 x - \frac{7}{6}$

Step 1

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

Subtract $2 x$ from both sides of the equation.

$x + \frac{7}{6} - 2 x = - \frac{7}{6}$

Subtract $2 x$ from $x$ .

$- x + \frac{7}{6} = - \frac{7}{6}$

Step 2

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

Subtract $\frac{7}{6}$ from both sides of the equation.

$- x = - \frac{7}{6} - \frac{7}{6}$

Combine the numerators over the common denominator.

$- x = \frac{- 7 - 7}{6}$

Subtract $7$ from $- 7$ .

$- x = \frac{- 14}{6}$

Cancel the common factor of $- 14$ and $6$ .

Factor $2$ out of $- 14$ .

$- x = \frac{2 (- 7)}{6}$

Cancel the common factors.

Factor $2$ out of $6$ .

$- x = \frac{2 \cdot - 7}{2 \cdot 3}$

Cancel the common factor.

$- x = \frac{2 \cdot - 7}{2 \cdot 3}$

Rewrite the expression.

$- x = \frac{- 7}{3}$

Move the negative in front of the fraction.

$- x = - \frac{7}{3}$

Step 3

Divide each term in $- x = - \frac{7}{3}$ by $- 1$ and simplify.

Divide each term in $- x = - \frac{7}{3}$ by $- 1$ .

$\frac{- x}{- 1} = \frac{- \frac{7}{3}}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{- \frac{7}{3}}{- 1}$

Divide $x$ by $1$ .

$x = \frac{- \frac{7}{3}}{- 1}$

Simplify the right side.

Dividing two negative values results in a positive value.

$x = \frac{\frac{7}{3}}{1}$

Divide $\frac{7}{3}$ by $1$ .

$x = \frac{7}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{7}{3}$

Decimal Form:

$x = 2.\overline{3}$

Mixed Number Form:

$x = 2 \frac{1}{3}$

Solve for x x+7/6=2x-7/6

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