Solve for x 12-1/5x=2x+1

$12 - \frac{1}{5} x = 2 x + 1$

Combine $x$ and $\frac{1}{5}$ .

$12 - \frac{x}{5} = 2 x + 1$

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

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

$12 - \frac{x}{5} - 2 x = 1$

To write $- 2 x$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$12 - \frac{x}{5} - 2 x \cdot \frac{5}{5} = 1$

Combine $- 2 x$ and $\frac{5}{5}$ .

$12 - \frac{x}{5} + \frac{- 2 x \cdot 5}{5} = 1$

Combine the numerators over the common denominator.

$12 + \frac{- x - 2 x \cdot 5}{5} = 1$

Simplify each term.

Simplify the numerator.

Factor $x$ out of $- x - 2 x \cdot 5$ .

Factor $x$ out of $- x$ .

$12 + \frac{x \cdot - 1 - 2 x \cdot 5}{5} = 1$

Factor $x$ out of $- 2 x \cdot 5$ .

$12 + \frac{x \cdot - 1 + x (- 2 \cdot 5)}{5} = 1$

Factor $x$ out of $x \cdot - 1 + x (- 2 \cdot 5)$ .

$12 + \frac{x (- 1 - 2 \cdot 5)}{5} = 1$

Multiply $- 2$ by $5$ .

$12 + \frac{x (- 1 - 10)}{5} = 1$

Subtract $10$ from $- 1$ .

$12 + \frac{x \cdot - 11}{5} = 1$

Move $- 11$ to the left of $x$ .

$12 + \frac{- 11 \cdot x}{5} = 1$

Move the negative in front of the fraction.

$12 - \frac{11 x}{5} = 1$

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

Subtract $12$ from both sides of the equation.

$- \frac{11 x}{5} = 1 - 12$

Subtract $12$ from $1$ .

$- \frac{11 x}{5} = - 11$

Multiply both sides of the equation by $- \frac{5}{11}$ .

$- \frac{5}{11} (- \frac{11 x}{5}) = - \frac{5}{11} \cdot - 11$

Simplify both sides of the equation.

Simplify the left side.

Simplify $- \frac{5}{11} (- \frac{11 x}{5})$ .

Cancel the common factor of $5$ .

Move the leading negative in $- \frac{5}{11}$ into the numerator.

$\frac{- 5}{11} (- \frac{11 x}{5}) = - \frac{5}{11} \cdot - 11$

Move the leading negative in $- \frac{11 x}{5}$ into the numerator.

$\frac{- 5}{11} \cdot \frac{- 11 x}{5} = - \frac{5}{11} \cdot - 11$

Factor $5$ out of $- 5$ .

$\frac{5 (- 1)}{11} \cdot \frac{- 11 x}{5} = - \frac{5}{11} \cdot - 11$

Cancel the common factor.

$\frac{5 \cdot - 1}{11} \cdot \frac{- 11 x}{5} = - \frac{5}{11} \cdot - 11$

Rewrite the expression.

$\frac{- 1}{11} (- 11 x) = - \frac{5}{11} \cdot - 11$

Cancel the common factor of $11$ .

Factor $11$ out of $- 11 x$ .

$\frac{- 1}{11} (11 (- x)) = - \frac{5}{11} \cdot - 11$

Cancel the common factor.

$\frac{- 1}{11} (11 (- x)) = - \frac{5}{11} \cdot - 11$

Rewrite the expression.

$- - x = - \frac{5}{11} \cdot - 11$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 x = - \frac{5}{11} \cdot - 11$

Multiply $x$ by $1$ .

$x = - \frac{5}{11} \cdot - 11$

Simplify the right side.

Simplify $- \frac{5}{11} \cdot - 11$ .

Cancel the common factor of $11$ .

Move the leading negative in $- \frac{5}{11}$ into the numerator.

$x = \frac{- 5}{11} \cdot - 11$

Factor $11$ out of $- 11$ .

$x = \frac{- 5}{11} \cdot (11 (- 1))$

Cancel the common factor.

$x = \frac{- 5}{11} \cdot (11 \cdot - 1)$

Rewrite the expression.

$x = - 5 \cdot - 1$

Multiply $- 5$ by $- 1$ .

$x = 5$

Solve for x 12-1/5x=2x+1

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