Solve for x -3-2x+6=5x

$- 3 - 2 x + 6 = 5 x$

Step 1

Add $- 3$ and $6$ .

$- 2 x + 3 = 5 x$

Step 2

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

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

$- 2 x + 3 - 5 x = 0$

Subtract $5 x$ from $- 2 x$ .

$- 7 x + 3 = 0$

Step 3

Subtract $3$ from both sides of the equation.

$- 7 x = - 3$

Step 4

Divide each term in $- 7 x = - 3$ by $- 7$ and simplify.

Divide each term in $- 7 x = - 3$ by $- 7$ .

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

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Dividing two negative values results in a positive value.

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

Step 5

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = 0.\overline{428571}$