Finite Math Examples

$5 - 4 (x - 5) + 3 x = - 4 (x - 5 + 3)$

Step 1

Simplify $5 - 4 (x - 5) + 3 x$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$5 - 4 x - 4 \cdot - 5 + 3 x = - 4 (x - 5 + 3)$

Step 1.1.2

Multiply $- 4$ by $- 5$ .

$5 - 4 x + 20 + 3 x = - 4 (x - 5 + 3)$

Step 1.2

Simplify by adding terms.

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Step 1.2.1

Add $5$ and $20$ .

$- 4 x + 25 + 3 x = - 4 (x - 5 + 3)$

Step 1.2.2

Add $- 4 x$ and $3 x$ .

$- x + 25 = - 4 (x - 5 + 3)$

Step 2

Simplify $- 4 (x - 5 + 3)$ .

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Step 2.1

Add $- 5$ and $3$ .

$- x + 25 = - 4 (x - 2)$

Step 2.2

Apply the distributive property.

$- x + 25 = - 4 x - 4 \cdot - 2$

Step 2.3

Multiply $- 4$ by $- 2$ .

$- x + 25 = - 4 x + 8$

Step 3

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

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Step 3.1

Add $4 x$ to both sides of the equation.

$- x + 25 + 4 x = 8$

Step 3.2

Add $- x$ and $4 x$ .

$3 x + 25 = 8$

Step 4

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

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Step 4.1

Subtract $25$ from both sides of the equation.

$3 x = 8 - 25$

Step 4.2

Subtract $25$ from $8$ .

$3 x = - 17$

Step 5

Divide each term in $3 x = - 17$ by $3$ and simplify.

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Step 5.1

Divide each term in $3 x = - 17$ by $3$ .

$\frac{3 x}{3} = \frac{- 17}{3}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $3$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{3 x}{3} = \frac{- 17}{3}$

Step 5.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 17}{3}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Move the negative in front of the fraction.

$x = - \frac{17}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{17}{3}$

Decimal Form:

$x = - 5.\overline{6}$

Mixed Number Form:

$x = - 5 \frac{2}{3}$