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Algebra Examples

3 x - 4 (x + 4) = 2

$3 x - 4 (x + 4) = 2$

Step 1

Simplify

3 x - 4 (x + 4)

$3 x - 4 (x + 4)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

3 x - 4 x - 4 \cdot 4 = 2

$3 x - 4 x - 4 \cdot 4 = 2$

Step 1.1.2

Multiply

- 4

$- 4$ by

4

$4$ .

3 x - 4 x - 16 = 2

$3 x - 4 x - 16 = 2$

3 x - 4 x - 16 = 2

$3 x - 4 x - 16 = 2$

Step 1.2

Subtract

4 x

$4 x$ from

3 x

$3 x$ .

- x - 16 = 2

$- x - 16 = 2$

- x - 16 = 2

$- x - 16 = 2$

Step 2

Move all terms not containing

x

$x$ to the right side of the equation.

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Step 2.1

Add

16

$16$ to both sides of the equation.

- x = 2 + 16

$- x = 2 + 16$

Step 2.2

Add

2

$2$ and

16

$16$ .

- x = 18

$- x = 18$

- x = 18

$- x = 18$

Step 3

Divide each term in

- x = 18

$- x = 18$ by

- 1

$- 1$ and simplify.

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Step 3.1

Divide each term in

- x = 18

$- x = 18$ by

- 1

$- 1$ .

\frac{- x}{- 1} = \frac{18}{- 1}

$\frac{- x}{- 1} = \frac{18}{- 1}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Dividing two negative values results in a positive value.

\frac{x}{1} = \frac{18}{- 1}

$\frac{x}{1} = \frac{18}{- 1}$

Step 3.2.2

Divide

x

$x$ by

1

$1$ .

x = \frac{18}{- 1}

$x = \frac{18}{- 1}$

x = \frac{18}{- 1}

$x = \frac{18}{- 1}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide

18

$18$ by

- 1

$- 1$ .

x = - 18

$x = - 18$

x = - 18

$x = - 18$

x = - 18

$x = - 18$

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⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

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