Pre-Algebra Examples

$5 + x - 12 = x - 7$

Step 1

Subtract $12$ from $5$ .

$x - 7 = x - 7$

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.

$x - 7 - x = - 7$

Step 2.2

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

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Step 2.2.1

Subtract $x$ from $x$ .

$0 - 7 = - 7$

Step 2.2.2

Subtract $7$ from $0$ .

$- 7 = - 7$

Step 3

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

All real numbers

Step 4

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$