Precalculus Examples

$4 x - 6 = 3 - 1 x$

Step 1

Rewrite $- 1 x$ as $- x$ .

$4 x - 6 = 3 - x$

Step 2

Move all terms containing $x$ to the left side of the equation.

Tap for more steps...

Step 2.1

Add $x$ to both sides of the equation.

$4 x - 6 + x = 3$

Step 2.2

Add $4 x$ and $x$ .

$5 x - 6 = 3$

Step 3

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

Tap for more steps...

Step 3.1

Add $6$ to both sides of the equation.

$5 x = 3 + 6$

Step 3.2

Add $3$ and $6$ .

$5 x = 9$

Step 4

Divide each term in $5 x = 9$ by $5$ and simplify.

Tap for more steps...

Step 4.1

Divide each term in $5 x = 9$ by $5$ .

$\frac{5 x}{5} = \frac{9}{5}$

Step 4.2

Simplify the left side.

Tap for more steps...

Step 4.2.1

Cancel the common factor of $5$ .

Tap for more steps...

Step 4.2.1.1

Cancel the common factor.

$\frac{5 x}{5} = \frac{9}{5}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{9}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = \frac{9}{5}$

Decimal Form:

$x = 1.8$

Mixed Number Form:

$x = 1 \frac{4}{5}$