Finite Math Examples

$12 - 3 (2 x + 1) = 7 x - 3 x$

Step 1

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$7 x - 3 x = 12 - 3 (2 x + 1)$

Step 2

Subtract $3 x$ from $7 x$ .

$4 x = 12 - 3 (2 x + 1)$

Step 3

Simplify $12 - 3 (2 x + 1)$ .

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Step 3.1

Simplify each term.

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Step 3.1.1

Apply the distributive property.

$4 x = 12 - 3 (2 x) - 3 \cdot 1$

Step 3.1.2

Multiply $2$ by $- 3$ .

$4 x = 12 - 6 x - 3 \cdot 1$

Step 3.1.3

Multiply $- 3$ by $1$ .

$4 x = 12 - 6 x - 3$

Step 3.2

Subtract $3$ from $12$ .

$4 x = - 6 x + 9$

Step 4

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

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Step 4.1

Add $6 x$ to both sides of the equation.

$4 x + 6 x = 9$

Step 4.2

Add $4 x$ and $6 x$ .

$10 x = 9$

Step 5

Divide each term in $10 x = 9$ by $10$ and simplify.

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Step 5.1

Divide each term in $10 x = 9$ by $10$ .

$\frac{10 x}{10} = \frac{9}{10}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $10$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{10 x}{10} = \frac{9}{10}$

Step 5.2.1.2

Divide $x$ by $1$ .

$x = \frac{9}{10}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = \frac{9}{10}$

Decimal Form:

$x = 0.9$