Solve for x -2(5x-1)-3=-10x

$- 2 (5 x - 1) - 3 = - 10 x$

Step 1

Simplify $- 2 (5 x - 1) - 3$ .

Simplify each term.

Apply the distributive property.

$- 2 (5 x) - 2 \cdot - 1 - 3 = - 10 x$

Multiply $5$ by $- 2$ .

$- 10 x - 2 \cdot - 1 - 3 = - 10 x$

Multiply $- 2$ by $- 1$ .

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

Subtract $3$ from $2$ .

$- 10 x - 1 = - 10 x$

Step 2

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

Add $10 x$ to both sides of the equation.

$- 10 x - 1 + 10 x = 0$

Combine the opposite terms in $- 10 x - 1 + 10 x$ .

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

$0 - 1 = 0$

Subtract $1$ from $0$ .

$- 1 = 0$

Step 3

Since $- 1 \neq 0$ , there are no solutions.

No solution