Finite Math Examples

$2 (1 + 2 x) = 8$

Step 1

Divide each term in $2 (1 + 2 x) = 8$ by $2$ and simplify.

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Step 1.1

Divide each term in $2 (1 + 2 x) = 8$ by $2$ .

$\frac{2 (1 + 2 x)}{2} = \frac{8}{2}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $2$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{2 (1 + 2 x)}{2} = \frac{8}{2}$

Step 1.2.1.2

Divide $1 + 2 x$ by $1$ .

$1 + 2 x = \frac{8}{2}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Divide $8$ by $2$ .

$1 + 2 x = 4$

Step 2

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

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Step 2.1

Subtract $1$ from both sides of the equation.

$2 x = 4 - 1$

Step 2.2

Subtract $1$ from $4$ .

$2 x = 3$

Step 3

Divide each term in $2 x = 3$ by $2$ and simplify.

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Step 3.1

Divide each term in $2 x = 3$ by $2$ .

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

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $2$ .

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Step 3.2.1.1

Cancel the common factor.

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

Step 3.2.1.2

Divide $x$ by $1$ .

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

Step 4