Solve for x 12x+6=5x

$12 x + 6 = 5 x$

Step 1

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

Subtract $5 x$ from both sides of the equation.

$12 x + 6 - 5 x = 0$

Subtract $5 x$ from $12 x$ .

$7 x + 6 = 0$

Step 2

Subtract $6$ from both sides of the equation.

$7 x = - 6$

Step 3

Divide each term in $7 x = - 6$ by $7$ and simplify.

Divide each term in $7 x = - 6$ by $7$ .

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

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Move the negative in front of the fraction.

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

Step 4

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = - 0.\overline{857142}$