Solve for x 7-3x=2x+7-5x

$7 - 3 x = 2 x + 7 - 5 x$

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$2 x + 7 - 5 x = 7 - 3 x$

Subtract $5 x$ from $2 x$ .

$- 3 x + 7 = 7 - 3 x$

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

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

$- 3 x + 7 + 3 x = 7$

Combine the opposite terms in $- 3 x + 7 + 3 x$ .

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

$0 + 7 = 7$

Add $0$ and $7$ .

$7 = 7$

Since $7 = 7$ , the equation will always be true for any value of $x$ .

All real numbers

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$