Solve for x 9x=2-7x

$9 x = 2 - 7 x$

Step 1

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

Add $7 x$ to both sides of the equation.

$9 x + 7 x = 2$

Add $9 x$ and $7 x$ .

$16 x = 2$

Step 2

Divide each term in $16 x = 2$ by $16$ and simplify.

Divide each term in $16 x = 2$ by $16$ .

$\frac{16 x}{16} = \frac{2}{16}$

Simplify the left side.

Cancel the common factor of $16$ .

Cancel the common factor.

$\frac{16 x}{16} = \frac{2}{16}$

Divide $x$ by $1$ .

$x = \frac{2}{16}$

Simplify the right side.

Cancel the common factor of $2$ and $16$ .

Factor $2$ out of $2$ .

$x = \frac{2 (1)}{16}$

Cancel the common factors.

Factor $2$ out of $16$ .

$x = \frac{2 \cdot 1}{2 \cdot 8}$

Cancel the common factor.

$x = \frac{2 \cdot 1}{2 \cdot 8}$

Rewrite the expression.

$x = \frac{1}{8}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{8}$

Decimal Form:

$x = 0.125$