Algebra Examples

$- 4 x - 7 + 10 x = - 7 + 6 x$

Step 1

Add $- 4 x$ and $10 x$ .

$6 x - 7 = - 7 + 6 x$

Step 2

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

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Step 2.1

Subtract $6 x$ from both sides of the equation.

$6 x - 7 - 6 x = - 7$

Step 2.2

Combine the opposite terms in $6 x - 7 - 6 x$ .

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Step 2.2.1

Subtract $6 x$ from $6 x$ .

$0 - 7 = - 7$

Step 2.2.2

Subtract $7$ from $0$ .

$- 7 = - 7$

Step 3

Since $- 7 = - 7$ , the equation will always be true.

Always true

Step 4

The result can be shown in multiple forms.

Always true

Interval Notation:

$(- \infty, \infty)$