Finite Math Examples

$4 (x - 2) = 18$

Step 1

Subtract $18$ from both sides of the equation.

$4 (x - 2) - 18 = 0$

Step 2

Simplify $4 (x - 2) - 18$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$4 x + 4 \cdot - 2 - 18 = 0$

Step 2.1.2

Multiply $4$ by $- 2$ .

$4 x - 8 - 18 = 0$

$4 x - 8 - 18 = 0$

Step 2.2

Subtract $18$ from $- 8$ .

$4 x - 26 = 0$

$4 x - 26 = 0$

Step 3

Factor $2$ out of $4 x - 26$ .

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Step 3.1

Factor $2$ out of $4 x$ .

$2 (2 x) - 26 = 0$

Step 3.2

Factor $2$ out of $- 26$ .

$2 (2 x) + 2 (- 13) = 0$

Step 3.3

Factor $2$ out of $2 (2 x) + 2 (- 13)$ .

$2 (2 x - 13) = 0$

$2 (2 x - 13) = 0$

Step 4

Divide each term in $2 (2 x - 13) = 0$ by $2$ and simplify.

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Step 4.1

Divide each term in $2 (2 x - 13) = 0$ by $2$ .

$\frac{2 (2 x - 13)}{2} = \frac{0}{2}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $2$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{2 (2 x - 13)}{2} = \frac{0}{2}$

Step 4.2.1.2

Divide $2 x - 13$ by $1$ .

$2 x - 13 = \frac{0}{2}$

$2 x - 13 = \frac{0}{2}$

$2 x - 13 = \frac{0}{2}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $0$ by $2$ .

$2 x - 13 = 0$

$2 x - 13 = 0$

$2 x - 13 = 0$

Step 5

Add $13$ to both sides of the equation.

$2 x = 13$

Step 6

Divide each term in $2 x = 13$ by $2$ and simplify.

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Step 6.1

Divide each term in $2 x = 13$ by $2$ .

$\frac{2 x}{2} = \frac{13}{2}$

Step 6.2

Simplify the left side.

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Step 6.2.1

Cancel the common factor of $2$ .

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Step 6.2.1.1

Cancel the common factor.

$\frac{2 x}{2} = \frac{13}{2}$

Step 6.2.1.2

Divide $x$ by $1$ .

$x = \frac{13}{2}$

$x = \frac{13}{2}$

$x = \frac{13}{2}$

$x = \frac{13}{2}$

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