Pre-Algebra Examples

$1 + x = 4 x - 4$

Step 1

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

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Step 1.1

Subtract $4 x$ from both sides of the equation.

$1 + x - 4 x = - 4$

Step 1.2

Subtract $4 x$ from $x$ .

$1 - 3 x = - 4$

Step 2

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

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Step 2.1

Subtract $1$ from both sides of the equation.

$- 3 x = - 4 - 1$

Step 2.2

Subtract $1$ from $- 4$ .

$- 3 x = - 5$

Step 3

Divide each term in $- 3 x = - 5$ by $- 3$ and simplify.

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Step 3.1

Divide each term in $- 3 x = - 5$ by $- 3$ .

$\frac{- 3 x}{- 3} = \frac{- 5}{- 3}$

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.

$\frac{- 3 x}{- 3} = \frac{- 5}{- 3}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 5}{- 3}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Dividing two negative values results in a positive value.

$x = \frac{5}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{5}{3}$

Decimal Form:

$x = 1.\overline{6}$

Mixed Number Form:

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

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