Solve for x -5x-3x+2=-8x+2

$- 5 x - 3 x + 2 = - 8 x + 2$

Step 1

Subtract $3 x$ from $- 5 x$ .

$- 8 x + 2 = - 8 x + 2$

Step 2

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

Add $8 x$ to both sides of the equation.

$- 8 x + 2 + 8 x = 2$

Combine the opposite terms in $- 8 x + 2 + 8 x$ .

Add $- 8 x$ and $8 x$ .

$0 + 2 = 2$

Add $0$ and $2$ .

$2 = 2$

Step 3

Since $2 = 2$ , 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:

$(- \infty, \infty)$