Solve for x -4x+5+3x=2-x+3

$- 4 x + 5 + 3 x = 2 - x + 3$

Step 1

Add $- 4 x$ and $3 x$ .

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

Step 2

Add $2$ and $3$ .

$- x + 5 = - x + 5$

Step 3

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

Add $x$ to both sides of the equation.

$- x + 5 + x = 5$

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

Add $- x$ and $x$ .

$0 + 5 = 5$

Add $0$ and $5$ .

$5 = 5$

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:

$(- \infty, \infty)$