Algebra Examples

$- 5 - 7 x + 4 x = 5 - 10 - 3 x$

Step 1

Add $- 7 x$ and $4 x$ .

$- 5 - 3 x = 5 - 10 - 3 x$

Step 2

Subtract $10$ from $5$ .

$- 5 - 3 x = - 5 - 3 x$

Step 3

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

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Step 3.1

Add $3 x$ to both sides of the equation.

$- 5 - 3 x + 3 x = - 5$

Step 3.2

Combine the opposite terms in $- 5 - 3 x + 3 x$ .

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Step 3.2.1

Add $- 3 x$ and $3 x$ .

$- 5 + 0 = - 5$

Step 3.2.2

Add $- 5$ and $0$ .

$- 5 = - 5$

Step 4

Since $- 5 = - 5$ , 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:

$(- \infty, \infty)$