Solve for x 5x+2x-3=-3x+10x

$5 x + 2 x - 3 = - 3 x + 10 x$

Step 1

Add $5 x$ and $2 x$ .

$7 x - 3 = - 3 x + 10 x$

Step 2

Add $- 3 x$ and $10 x$ .

$7 x - 3 = 7 x$

Step 3

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

Subtract $7 x$ from both sides of the equation.

$7 x - 3 - 7 x = 0$

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

Subtract $7 x$ from $7 x$ .

$0 - 3 = 0$

Subtract $3$ from $0$ .

$- 3 = 0$

Step 4

Since $- 3 \neq 0$ , there are no solutions.

No solution