Pre-Algebra Examples

$- 6 (6 - x) + 8 = 8 - 8 (x + 2)$

Step 1

Simplify $- 6 (6 - x) + 8$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$- 6 \cdot 6 - 6 (- x) + 8 = 8 - 8 (x + 2)$

Step 1.1.2

Multiply $- 6$ by $6$ .

$- 36 - 6 (- x) + 8 = 8 - 8 (x + 2)$

Step 1.1.3

Multiply $- 1$ by $- 6$ .

$- 36 + 6 x + 8 = 8 - 8 (x + 2)$

$- 36 + 6 x + 8 = 8 - 8 (x + 2)$

Step 1.2

Add $- 36$ and $8$ .

$6 x - 28 = 8 - 8 (x + 2)$

$6 x - 28 = 8 - 8 (x + 2)$

Step 2

Simplify $8 - 8 (x + 2)$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$6 x - 28 = 8 - 8 x - 8 \cdot 2$

Step 2.1.2

Multiply $- 8$ by $2$ .

$6 x - 28 = 8 - 8 x - 16$

$6 x - 28 = 8 - 8 x - 16$

Step 2.2

Subtract $16$ from $8$ .

$6 x - 28 = - 8 x - 8$

$6 x - 28 = - 8 x - 8$

Step 3

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

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Step 3.1

Add $8 x$ to both sides of the equation.

$6 x - 28 + 8 x = - 8$

Step 3.2

Add $6 x$ and $8 x$ .

$14 x - 28 = - 8$

$14 x - 28 = - 8$

Step 4

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

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Step 4.1

Add $28$ to both sides of the equation.

$14 x = - 8 + 28$

Step 4.2

Add $- 8$ and $28$ .

$14 x = 20$

$14 x = 20$

Step 5

Divide each term in $14 x = 20$ by $14$ and simplify.

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Step 5.1

Divide each term in $14 x = 20$ by $14$ .

$\frac{14 x}{14} = \frac{20}{14}$

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.

$\frac{14 x}{14} = \frac{20}{14}$

Step 5.2.1.2

Divide $x$ by $1$ .

$x = \frac{20}{14}$

$x = \frac{20}{14}$

$x = \frac{20}{14}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Cancel the common factor of $20$ and $14$ .

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Step 5.3.1.1

Factor $2$ out of $20$ .

$x = \frac{2 (10)}{14}$

Step 5.3.1.2

Cancel the common factors.

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Step 5.3.1.2.1

Factor $2$ out of $14$ .

$x = \frac{2 \cdot 10}{2 \cdot 7}$

Step 5.3.1.2.2

Cancel the common factor.

$x = \frac{2 \cdot 10}{2 \cdot 7}$

Step 5.3.1.2.3

Rewrite the expression.

$x = \frac{10}{7}$

$x = \frac{10}{7}$

$x = \frac{10}{7}$

$x = \frac{10}{7}$

$x = \frac{10}{7}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = \frac{10}{7}$

Decimal Form:

$x = 1.\overline{428571}$

Mixed Number Form:

$x = 1 \frac{3}{7}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$