Basic Math Examples

$9 - 5 a = 8 a + a - 7$

Step 1

Since $a$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$8 a + a - 7 = 9 - 5 a$

Step 2

Add $8 a$ and $a$ .

$9 a - 7 = 9 - 5 a$

Step 3

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

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Step 3.1

Add $5 a$ to both sides of the equation.

$9 a - 7 + 5 a = 9$

Step 3.2

Add $9 a$ and $5 a$ .

$14 a - 7 = 9$

Step 4

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

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Step 4.1

Add $7$ to both sides of the equation.

$14 a = 9 + 7$

Step 4.2

Add $9$ and $7$ .

$14 a = 16$

Step 5

Divide each term in $14 a = 16$ by $14$ and simplify.

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Step 5.1

Divide each term in $14 a = 16$ by $14$ .

$\frac{14 a}{14} = \frac{16}{14}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $14$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{14 a}{14} = \frac{16}{14}$

Step 5.2.1.2

Divide $a$ by $1$ .

$a = \frac{16}{14}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Cancel the common factor of $16$ and $14$ .

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Step 5.3.1.1

Factor $2$ out of $16$ .

$a = \frac{2 (8)}{14}$

Step 5.3.1.2

Cancel the common factors.

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Step 5.3.1.2.1

Factor $2$ out of $14$ .

$a = \frac{2 \cdot 8}{2 \cdot 7}$

Step 5.3.1.2.2

Cancel the common factor.

$a = \frac{2 \cdot 8}{2 \cdot 7}$

Step 5.3.1.2.3

Rewrite the expression.

$a = \frac{8}{7}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$a = \frac{8}{7}$

Decimal Form:

$a = 1.\overline{142857}$

Mixed Number Form:

$a = 1 \frac{1}{7}$