Algebra Examples

$7 - 10 x + 5 x = 6 + 1 - 5 x$

Step 1

Add $- 10 x$ and $5 x$ .

$7 - 5 x = 6 + 1 - 5 x$

Step 2

Add $6$ and $1$ .

$7 - 5 x = 7 - 5 x$

Step 3

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

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Step 3.1

Add $5 x$ to both sides of the equation.

$7 - 5 x + 5 x = 7$

Step 3.2

Combine the opposite terms in $7 - 5 x + 5 x$ .

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Step 3.2.1

Add $- 5 x$ and $5 x$ .

$7 + 0 = 7$

Step 3.2.2

Add $7$ and $0$ .

$7 = 7$

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:

$(- \infty, \infty)$