Solve for x -6x=-5(x-1)-x

$- 6 x = - 5 (x - 1) - x$

Step 1

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

$- 5 (x - 1) - x = - 6 x$

Step 2

Simplify $- 5 (x - 1) - x$ .

Simplify each term.

Apply the distributive property.

$- 5 x - 5 \cdot - 1 - x = - 6 x$

Multiply $- 5$ by $- 1$ .

$- 5 x + 5 - x = - 6 x$

Subtract $x$ from $- 5 x$ .

$- 6 x + 5 = - 6 x$

Step 3

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

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

$- 6 x + 5 + 6 x = 0$

Combine the opposite terms in $- 6 x + 5 + 6 x$ .

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

$0 + 5 = 0$

Add $0$ and $5$ .

$5 = 0$

Step 4

Since $5 \neq 0$ , there are no solutions.

No solution