Algebra Examples

$6 x - 12 + 2 x = 3 + 8 x - 15$

Step 1

Add $6 x$ and $2 x$ .

$8 x - 12 = 3 + 8 x - 15$

Step 2

Subtract $15$ from $3$ .

$8 x - 12 = 8 x - 12$

Step 3

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

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Step 3.1

Subtract $8 x$ from both sides of the equation.

$8 x - 12 - 8 x = - 12$

Step 3.2

Combine the opposite terms in $8 x - 12 - 8 x$ .

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Step 3.2.1

Subtract $8 x$ from $8 x$ .

$0 - 12 = - 12$

Step 3.2.2

Subtract $12$ from $0$ .

$- 12 = - 12$

Step 4

Since $- 12 = - 12$ , 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:

$(- \infty, \infty)$