Pre-Algebra Examples

$2 x - x + 7 = x + 3 + 4$

Step 1

Subtract $x$ from $2 x$ .

$x + 7 = x + 3 + 4$

Step 2

Add $3$ and $4$ .

$x + 7 = x + 7$

Step 3

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

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Step 3.1

Subtract $x$ from both sides of the equation.

$x + 7 - x = 7$

Step 3.2

Combine the opposite terms in $x + 7 - x$ .

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Step 3.2.1

Subtract $x$ from $x$ .

$0 + 7 = 7$

Step 3.2.2

Add $0$ and $7$ .

$7 = 7$

Step 4

Since $7 = 7$ , the equation will always be true for any value of $x$ .

All real numbers

Step 5

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$