Pre-Algebra Examples

$4 x - 6 x = x + 2$

Step 1

Subtract $6 x$ from $4 x$ .

$- 2 x = x + 2$

Step 2

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

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Step 2.1

Subtract $x$ from both sides of the equation.

$- 2 x - x = 2$

Step 2.2

Subtract $x$ from $- 2 x$ .

$- 3 x = 2$

Step 3

Divide each term in $- 3 x = 2$ by $- 3$ and simplify.

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Step 3.1

Divide each term in $- 3 x = 2$ by $- 3$ .

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

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $- 3$ .

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Step 3.2.1.1

Cancel the common factor.

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

Step 3.2.1.2

Divide $x$ by $1$ .

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

Step 3.3

Simplify the right side.

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Step 3.3.1

Move the negative in front of the fraction.

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

Step 4

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = - 0.\overline{6}$