Finite Math Examples

$6 (x - 4) + 4 x - 1 = 2 x - 9 (15 x)$

Step 1

Simplify $6 (x - 4) + 4 x - 1$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$6 x + 6 \cdot - 4 + 4 x - 1 = 2 x - 9 \cdot (15 x)$

Step 1.1.2

Multiply $6$ by $- 4$ .

$6 x - 24 + 4 x - 1 = 2 x - 9 \cdot (15 x)$

Step 1.2

Simplify by adding terms.

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Step 1.2.1

Add $6 x$ and $4 x$ .

$10 x - 24 - 1 = 2 x - 9 \cdot (15 x)$

Step 1.2.2

Subtract $1$ from $- 24$ .

$10 x - 25 = 2 x - 9 \cdot (15 x)$

Step 2

Simplify $2 x - 9 \cdot (15 x)$ .

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Step 2.1

Multiply $15$ by $- 9$ .

$10 x - 25 = 2 x - 135 x$

Step 2.2

Subtract $135 x$ from $2 x$ .

$10 x - 25 = - 133 x$

Step 3

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

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Step 3.1

Add $133 x$ to both sides of the equation.

$10 x - 25 + 133 x = 0$

Step 3.2

Add $10 x$ and $133 x$ .

$143 x - 25 = 0$

Step 4

Add $25$ to both sides of the equation.

$143 x = 25$

Step 5

Divide each term in $143 x = 25$ by $143$ and simplify.

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Step 5.1

Divide each term in $143 x = 25$ by $143$ .

$\frac{143 x}{143} = \frac{25}{143}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $143$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{143 x}{143} = \frac{25}{143}$

Step 5.2.1.2

Divide $x$ by $1$ .

$x = \frac{25}{143}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = \frac{25}{143}$

Decimal Form:

$x = 0.\overline{174825}$