Solve for x 10x-8+3x-7+x=20x-10-6x

$10 x - 8 + 3 x - 7 + x = 20 x - 10 - 6 x$

Simplify $10 x - 8 + 3 x - 7 + x$ .

Add $10 x$ and $3 x$ .

$13 x - 8 - 7 + x = 20 x - 10 - 6 x$

Add $13 x$ and $x$ .

$14 x - 8 - 7 = 20 x - 10 - 6 x$

Subtract $7$ from $- 8$ .

$14 x - 15 = 20 x - 10 - 6 x$

Subtract $6 x$ from $20 x$ .

$14 x - 15 = 14 x - 10$

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

Subtract $14 x$ from both sides of the equation.

$14 x - 15 - 14 x = - 10$

Combine the opposite terms in $14 x - 15 - 14 x$ .

Subtract $14 x$ from $14 x$ .

$0 - 15 = - 10$

Subtract $15$ from $0$ .

$- 15 = - 10$

Since $- 15 \neq - 10$ , there are no solutions.

No solution