Algebra Examples

$- 2 - 8 (5 - 4 x) = 36 - 8 x$

Step 1

Simplify $- 2 - 8 (5 - 4 x)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$- 2 - 8 \cdot 5 - 8 (- 4 x) = 36 - 8 x$

Step 1.1.2

Multiply $- 8$ by $5$ .

$- 2 - 40 - 8 (- 4 x) = 36 - 8 x$

Step 1.1.3

Multiply $- 4$ by $- 8$ .

$- 2 - 40 + 32 x = 36 - 8 x$

Step 1.2

Subtract $40$ from $- 2$ .

$- 42 + 32 x = 36 - 8 x$

Step 2

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

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Step 2.1

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

$- 42 + 32 x + 8 x = 36$

Step 2.2

Add $32 x$ and $8 x$ .

$- 42 + 40 x = 36$

Step 3

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

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Step 3.1

Add $42$ to both sides of the equation.

$40 x = 36 + 42$

Step 3.2

Add $36$ and $42$ .

$40 x = 78$

Step 4

Divide each term in $40 x = 78$ by $40$ and simplify.

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Step 4.1

Divide each term in $40 x = 78$ by $40$ .

$\frac{40 x}{40} = \frac{78}{40}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $40$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{40 x}{40} = \frac{78}{40}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{78}{40}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Cancel the common factor of $78$ and $40$ .

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Step 4.3.1.1

Factor $2$ out of $78$ .

$x = \frac{2 (39)}{40}$

Step 4.3.1.2

Cancel the common factors.

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Step 4.3.1.2.1

Factor $2$ out of $40$ .

$x = \frac{2 \cdot 39}{2 \cdot 20}$

Step 4.3.1.2.2

Cancel the common factor.

$x = \frac{2 \cdot 39}{2 \cdot 20}$

Step 4.3.1.2.3

Rewrite the expression.

$x = \frac{39}{20}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = \frac{39}{20}$

Decimal Form:

$x = 1.95$

Mixed Number Form:

$x = 1 \frac{19}{20}$