Finite Math Examples

$3 (1 + 2 x) = 243$

Step 1

Divide each term in $3 (1 + 2 x) = 243$ by $3$ and simplify.

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Step 1.1

Divide each term in $3 (1 + 2 x) = 243$ by $3$ .

$\frac{3 (1 + 2 x)}{3} = \frac{243}{3}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $3$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{3 (1 + 2 x)}{3} = \frac{243}{3}$

Step 1.2.1.2

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

$1 + 2 x = \frac{243}{3}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Divide $243$ by $3$ .

$1 + 2 x = 81$

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.

$2 x = 81 - 1$

Step 2.2

Subtract $1$ from $81$ .

$2 x = 80$

Step 3

Divide each term in $2 x = 80$ by $2$ and simplify.

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Step 3.1

Divide each term in $2 x = 80$ by $2$ .

$\frac{2 x}{2} = \frac{80}{2}$

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.

$\frac{2 x}{2} = \frac{80}{2}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{80}{2}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $80$ by $2$ .

$x = 40$