Solve for x -2(x-2)-4x=3(x+1)-9x

$- 2 (x - 2) - 4 x = 3 (x + 1) - 9 x$

Step 1

Simplify $- 2 (x - 2) - 4 x$ .

Simplify each term.

Apply the distributive property.

$- 2 x - 2 \cdot - 2 - 4 x = 3 (x + 1) - 9 x$

Multiply $- 2$ by $- 2$ .

$- 2 x + 4 - 4 x = 3 (x + 1) - 9 x$

Subtract $4 x$ from $- 2 x$ .

$- 6 x + 4 = 3 (x + 1) - 9 x$

Step 2

Simplify $3 (x + 1) - 9 x$ .

Simplify each term.

Apply the distributive property.

$- 6 x + 4 = 3 x + 3 \cdot 1 - 9 x$

Multiply $3$ by $1$ .

$- 6 x + 4 = 3 x + 3 - 9 x$

Subtract $9 x$ from $3 x$ .

$- 6 x + 4 = - 6 x + 3$

Step 3

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

Add $6 x$ to both sides of the equation.

$- 6 x + 4 + 6 x = 3$

Combine the opposite terms in $- 6 x + 4 + 6 x$ .

Add $- 6 x$ and $6 x$ .

$0 + 4 = 3$

Add $0$ and $4$ .

$4 = 3$

Step 4

Since $4 \neq 3$ , there are no solutions.

No solution