Algebra Examples

$- 5 (x - 4) + 2 = - 1 + (x + 6)$

Step 1

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

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$- 5 x - 5 \cdot - 4 + 2 = - 1 + x + 6$

Step 1.1.2

Multiply $- 5$ by $- 4$ .

$- 5 x + 20 + 2 = - 1 + x + 6$

Step 1.2

Add $20$ and $2$ .

$- 5 x + 22 = - 1 + x + 6$

Step 2

Add $- 1$ and $6$ .

$- 5 x + 22 = x + 5$

Step 3

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

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Step 3.1

Subtract $x$ from both sides of the equation.

$- 5 x + 22 - x = 5$

Step 3.2

Subtract $x$ from $- 5 x$ .

$- 6 x + 22 = 5$

Step 4

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

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Step 4.1

Subtract $22$ from both sides of the equation.

$- 6 x = 5 - 22$

Step 4.2

Subtract $22$ from $5$ .

$- 6 x = - 17$

Step 5

Divide each term in $- 6 x = - 17$ by $- 6$ and simplify.

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Step 5.1

Divide each term in $- 6 x = - 17$ by $- 6$ .

$\frac{- 6 x}{- 6} = \frac{- 17}{- 6}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $- 6$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{- 6 x}{- 6} = \frac{- 17}{- 6}$

Step 5.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 17}{- 6}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Dividing two negative values results in a positive value.

$x = \frac{17}{6}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = \frac{17}{6}$

Decimal Form:

$x = 2.8\overline{3}$

Mixed Number Form:

$x = 2 \frac{5}{6}$