Solve for x -8x+4=9x-1

$- 8 x + 4 = 9 x - 1$

Step 1

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

Subtract $9 x$ from both sides of the equation.

$- 8 x + 4 - 9 x = - 1$

Subtract $9 x$ from $- 8 x$ .

$- 17 x + 4 = - 1$

Step 2

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

Subtract $4$ from both sides of the equation.

$- 17 x = - 1 - 4$

Subtract $4$ from $- 1$ .

$- 17 x = - 5$

Step 3

Divide each term in $- 17 x = - 5$ by $- 17$ and simplify.

Divide each term in $- 17 x = - 5$ by $- 17$ .

$\frac{- 17 x}{- 17} = \frac{- 5}{- 17}$

Simplify the left side.

Cancel the common factor of $- 17$ .

Cancel the common factor.

$\frac{- 17 x}{- 17} = \frac{- 5}{- 17}$

Divide $x$ by $1$ .

$x = \frac{- 5}{- 17}$

Simplify the right side.

Dividing two negative values results in a positive value.

$x = \frac{5}{17}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{5}{17}$

Decimal Form:

$x = 0.29411764 \dots$