Solve for x 6x-9+8x=-2-5+9x

$6 x - 9 + 8 x = - 2 - 5 + 9 x$

Add $6 x$ and $8 x$ .

$14 x - 9 = - 2 - 5 + 9 x$

Subtract $5$ from $- 2$ .

$14 x - 9 = - 7 + 9 x$

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

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

$14 x - 9 - 9 x = - 7$

Subtract $9 x$ from $14 x$ .

$5 x - 9 = - 7$

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

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Add $9$ to both sides of the equation.

$5 x = - 7 + 9$

Add $- 7$ and $9$ .

$5 x = 2$

Divide each term in $5 x = 2$ by $5$ and simplify.

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Divide each term in $5 x = 2$ by $5$ .

$\frac{5 x}{5} = \frac{2}{5}$

Simplify the left side.

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Cancel the common factor of $5$ .

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Cancel the common factor.

$\frac{5 x}{5} = \frac{2}{5}$

Divide $x$ by $1$ .

$x = \frac{2}{5}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{2}{5}$

Decimal Form:

$x = 0.4$