Finite Math Examples

$3 (3 - (- 5 x - 8)) = 30 x + 57$

Step 1

Simplify $3 (3 - (- 5 x - 8))$ .

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Step 1.1

Rewrite.

$0 + 0 + 3 (3 - (- 5 x - 8)) = 30 x + 57$

Step 1.2

Simplify by adding zeros.

$3 (3 - (- 5 x - 8)) = 30 x + 57$

Step 1.3

Simplify each term.

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Step 1.3.1

Apply the distributive property.

$3 (3 - (- 5 x) - - 8) = 30 x + 57$

Step 1.3.2

Multiply $- 5$ by $- 1$ .

$3 (3 + 5 x - - 8) = 30 x + 57$

Step 1.3.3

Multiply $- 1$ by $- 8$ .

$3 (3 + 5 x + 8) = 30 x + 57$

$3 (3 + 5 x + 8) = 30 x + 57$

Step 1.4

Simplify by multiplying through.

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Step 1.4.1

Add $3$ and $8$ .

$3 (5 x + 11) = 30 x + 57$

Step 1.4.2

Apply the distributive property.

$3 (5 x) + 3 \cdot 11 = 30 x + 57$

Step 1.4.3

Multiply.

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Step 1.4.3.1

Multiply $5$ by $3$ .

$15 x + 3 \cdot 11 = 30 x + 57$

Step 1.4.3.2

Multiply $3$ by $11$ .

$15 x + 33 = 30 x + 57$

$15 x + 33 = 30 x + 57$

$15 x + 33 = 30 x + 57$

$15 x + 33 = 30 x + 57$

Step 2

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

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Step 2.1

Subtract $30 x$ from both sides of the equation.

$15 x + 33 - 30 x = 57$

Step 2.2

Subtract $30 x$ from $15 x$ .

$- 15 x + 33 = 57$

$- 15 x + 33 = 57$

Step 3

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

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Step 3.1

Subtract $33$ from both sides of the equation.

$- 15 x = 57 - 33$

Step 3.2

Subtract $33$ from $57$ .

$- 15 x = 24$

$- 15 x = 24$

Step 4

Divide each term in $- 15 x = 24$ by $- 15$ and simplify.

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Step 4.1

Divide each term in $- 15 x = 24$ by $- 15$ .

$\frac{- 15 x}{- 15} = \frac{24}{- 15}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $- 15$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{- 15 x}{- 15} = \frac{24}{- 15}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{24}{- 15}$

$x = \frac{24}{- 15}$

$x = \frac{24}{- 15}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Cancel the common factor of $24$ and $- 15$ .

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Step 4.3.1.1

Factor $3$ out of $24$ .

$x = \frac{3 (8)}{- 15}$

Step 4.3.1.2

Cancel the common factors.

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Step 4.3.1.2.1

Factor $3$ out of $- 15$ .

$x = \frac{3 \cdot 8}{3 \cdot - 5}$

Step 4.3.1.2.2

Cancel the common factor.

$x = \frac{3 \cdot 8}{3 \cdot - 5}$

Step 4.3.1.2.3

Rewrite the expression.

$x = \frac{8}{- 5}$

$x = \frac{8}{- 5}$

$x = \frac{8}{- 5}$

Step 4.3.2

Move the negative in front of the fraction.

$x = - \frac{8}{5}$

$x = - \frac{8}{5}$

$x = - \frac{8}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{8}{5}$

Decimal Form:

$x = - 1.6$

Mixed Number Form:

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

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