Solve for x 237*2x/2=79

$237 \cdot 2 \frac{x}{2} = 79$

Step 1

Simplify.

Combine $2$ and $\frac{x}{2}$ .

$237 \cdot \frac{2 x}{2} = 79$

Combine $237$ and $\frac{2 x}{2}$ .

$\frac{237 (2 x)}{2} = 79$

Multiply $2$ by $237$ .

$\frac{474 x}{2} = 79$

Step 2

Divide each term in $\frac{474 x}{2} = 79$ by $474$ and simplify.

Divide each term in $\frac{474 x}{2} = 79$ by $474$ .

$\frac{\frac{474 x}{2}}{474} = \frac{79}{474}$

Simplify the left side.

Cancel the common factor of $474$ and $2$ .

Factor $2$ out of $474 x$ .

$\frac{\frac{2 (237 x)}{2}}{474} = \frac{79}{474}$

Cancel the common factors.

Factor $2$ out of $2$ .

$\frac{\frac{2 (237 x)}{2 (1)}}{474} = \frac{79}{474}$

Cancel the common factor.

$\frac{\frac{2 (237 x)}{2 \cdot 1}}{474} = \frac{79}{474}$

Rewrite the expression.

$\frac{\frac{237 x}{1}}{474} = \frac{79}{474}$

Divide $237 x$ by $1$ .

$\frac{237 x}{474} = \frac{79}{474}$

Cancel the common factor of $237$ and $474$ .

Factor $237$ out of $237 x$ .

$\frac{237 (x)}{474} = \frac{79}{474}$

Cancel the common factors.

Factor $237$ out of $474$ .

$\frac{237 x}{237 \cdot 2} = \frac{79}{474}$

Cancel the common factor.

$\frac{237 x}{237 \cdot 2} = \frac{79}{474}$

Rewrite the expression.

$\frac{x}{2} = \frac{79}{474}$

Simplify the right side.

Cancel the common factor of $79$ and $474$ .

Factor $79$ out of $79$ .

$\frac{x}{2} = \frac{79 (1)}{474}$

Cancel the common factors.

Factor $79$ out of $474$ .

$\frac{x}{2} = \frac{79 \cdot 1}{79 \cdot 6}$

Cancel the common factor.

$\frac{x}{2} = \frac{79 \cdot 1}{79 \cdot 6}$

Rewrite the expression.

$\frac{x}{2} = \frac{1}{6}$

Step 3

Multiply both sides of the equation by $2$ .

$2 \frac{x}{2} = 2 (\frac{1}{6})$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$2 \frac{x}{2} = 2 (\frac{1}{6})$

Rewrite the expression.

$x = 2 (\frac{1}{6})$

Simplify the right side.

Cancel the common factor of $2$ .

Factor $2$ out of $6$ .

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

Cancel the common factor.

$x = 2 \frac{1}{2 \cdot 3}$

Rewrite the expression.

$x = \frac{1}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{3}$

Decimal Form:

$x = 0.\overline{3}$

Solve for x 237*2x/2=79

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