Pre-Algebra Examples

$4 = 2 x - 7$

Step 1

Rewrite the equation as $2 x - 7 = 4$ .

$2 x - 7 = 4$

Step 2

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

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Step 2.1

Add $7$ to both sides of the equation.

$2 x = 4 + 7$

Step 2.2

Add $4$ and $7$ .

$2 x = 11$

Step 3

Divide each term in $2 x = 11$ by $2$ and simplify.

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Step 3.1

Divide each term in $2 x = 11$ by $2$ .

$\frac{2 x}{2} = \frac{11}{2}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $2$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{2 x}{2} = \frac{11}{2}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{11}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{11}{2}$

Decimal Form:

$x = 5.5$

Mixed Number Form:

$x = 5 \frac{1}{2}$