Algebra Examples

$2 (8 - x) = 3 x$

Step 1

Simplify $2 (8 - x)$ .

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Step 1.1

Rewrite.

$0 + 0 + 2 (8 - x) = 3 x$

Step 1.2

Simplify by adding zeros.

$2 (8 - x) = 3 x$

Step 1.3

Apply the distributive property.

$2 \cdot 8 + 2 (- x) = 3 x$

Step 1.4

Multiply.

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Step 1.4.1

Multiply $2$ by $8$ .

$16 + 2 (- x) = 3 x$

Step 1.4.2

Multiply $- 1$ by $2$ .

$16 - 2 x = 3 x$

Step 2

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

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Step 2.1

Subtract $3 x$ from both sides of the equation.

$16 - 2 x - 3 x = 0$

Step 2.2

Subtract $3 x$ from $- 2 x$ .

$16 - 5 x = 0$

Step 3

Subtract $16$ from both sides of the equation.

$- 5 x = - 16$

Step 4

Divide each term in $- 5 x = - 16$ by $- 5$ and simplify.

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Step 4.1

Divide each term in $- 5 x = - 16$ by $- 5$ .

$\frac{- 5 x}{- 5} = \frac{- 16}{- 5}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $- 5$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{- 5 x}{- 5} = \frac{- 16}{- 5}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 16}{- 5}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Dividing two negative values results in a positive value.

$x = \frac{16}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = \frac{16}{5}$

Decimal Form:

$x = 3.2$

Mixed Number Form:

$x = 3 \frac{1}{5}$