Solve for x 1/16=644x-3

$\frac{1}{16} = 644 x - 3$

Step 1

Rewrite the equation as $644 x - 3 = \frac{1}{16}$ .

$644 x - 3 = \frac{1}{16}$

Step 2

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

Add $3$ to both sides of the equation.

$644 x = \frac{1}{16} + 3$

To write $3$ as a fraction with a common denominator, multiply by $\frac{16}{16}$ .

$644 x = \frac{1}{16} + 3 \cdot \frac{16}{16}$

Combine $3$ and $\frac{16}{16}$ .

$644 x = \frac{1}{16} + \frac{3 \cdot 16}{16}$

Combine the numerators over the common denominator.

$644 x = \frac{1 + 3 \cdot 16}{16}$

Simplify the numerator.

Multiply $3$ by $16$ .

$644 x = \frac{1 + 48}{16}$

Add $1$ and $48$ .

$644 x = \frac{49}{16}$

Step 3

Divide each term in $644 x = \frac{49}{16}$ by $644$ and simplify.

Divide each term in $644 x = \frac{49}{16}$ by $644$ .

$\frac{644 x}{644} = \frac{\frac{49}{16}}{644}$

Simplify the left side.

Cancel the common factor of $644$ .

Cancel the common factor.

$\frac{644 x}{644} = \frac{\frac{49}{16}}{644}$

Divide $x$ by $1$ .

$x = \frac{\frac{49}{16}}{644}$

Simplify the right side.

Multiply the numerator by the reciprocal of the denominator.

$x = \frac{49}{16} \cdot \frac{1}{644}$

Cancel the common factor of $7$ .

Factor $7$ out of $49$ .

$x = \frac{7 (7)}{16} \cdot \frac{1}{644}$

Factor $7$ out of $644$ .

$x = \frac{7 \cdot 7}{16} \cdot \frac{1}{7 \cdot 92}$

Cancel the common factor.

$x = \frac{7 \cdot 7}{16} \cdot \frac{1}{7 \cdot 92}$

Rewrite the expression.

$x = \frac{7}{16} \cdot \frac{1}{92}$

Multiply $\frac{7}{16}$ by $\frac{1}{92}$ .

$x = \frac{7}{16 \cdot 92}$

Multiply $16$ by $92$ .

$x = \frac{7}{1472}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{7}{1472}$

Decimal Form:

$x = 0.00475543 \dots$

Solve for x 1/16=644x-3

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