Algebra Examples

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

Step 1

Add $9 x$ and $5 x$ .

$14 x - 8 = - 2 x$

Step 2

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

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Step 2.1

Add $2 x$ to both sides of the equation.

$14 x - 8 + 2 x = 0$

Step 2.2

Add $14 x$ and $2 x$ .

$16 x - 8 = 0$

Step 3

Add $8$ to both sides of the equation.

$16 x = 8$

Step 4

Divide each term in $16 x = 8$ by $16$ and simplify.

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Step 4.1

Divide each term in $16 x = 8$ by $16$ .

$\frac{16 x}{16} = \frac{8}{16}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $16$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{16 x}{16} = \frac{8}{16}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{8}{16}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Cancel the common factor of $8$ and $16$ .

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Step 4.3.1.1

Factor $8$ out of $8$ .

$x = \frac{8 (1)}{16}$

Step 4.3.1.2

Cancel the common factors.

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Step 4.3.1.2.1

Factor $8$ out of $16$ .

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

Step 4.3.1.2.2

Cancel the common factor.

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

Step 4.3.1.2.3

Rewrite the expression.

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

Step 5

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = 0.5$