Finite Math Examples

6 x - 1 = 3

$6 x - 1 = 3$

Step 1

Move all terms not containing

x

$x$ to the right side of the equation.

Tap for more steps...

Step 1.1

Add

1

$1$ to both sides of the equation.

6 x = 3 + 1

$6 x = 3 + 1$

Step 1.2

Add

3

$3$ and

1

$1$ .

6 x = 4

$6 x = 4$

6 x = 4

$6 x = 4$

Step 2

Divide each term in

6 x = 4

$6 x = 4$ by

6

$6$ and simplify.

Tap for more steps...

Step 2.1

Divide each term in

6 x = 4

$6 x = 4$ by

6

$6$ .

\frac{6 x}{6} = \frac{4}{6}

$\frac{6 x}{6} = \frac{4}{6}$

Step 2.2

Simplify the left side.

Tap for more steps...

Step 2.2.1

Cancel the common factor of

6

$6$ .

Tap for more steps...

Step 2.2.1.1

Cancel the common factor.

$\frac{6 x}{6} = \frac{4}{6}$

Step 2.2.1.2

Divide

$x$ by

$1$ .

$x = \frac{4}{6}$

$x = \frac{4}{6}$

$x = \frac{4}{6}$

Step 2.3

Simplify the right side.

Tap for more steps...

Step 2.3.1

Cancel the common factor of

$4$ and

$6$ .

Tap for more steps...

Step 2.3.1.1

Factor

$2$ out of

$4$ .

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

Step 2.3.1.2

Cancel the common factors.

Tap for more steps...

Step 2.3.1.2.1

Factor

$2$ out of

$6$ .

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

Step 2.3.1.2.2

Cancel the common factor.

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

Step 2.3.1.2.3

Rewrite the expression.

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

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

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

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

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

Step 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = 0.\overline{6}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$