Put the steps in order for solving the equation: −2(4x+8)+2x = −5x+10

Question

(4 points)

Answer 1

To solve the equation $-2(4x+8)+2x=-5x+10$, you can follow these steps in order:

1. Distribute the $-2$ on the left side:

   • This results in: $-8x-16+2x=-5x+10$

2. Combine like terms on the left side:

   • Combine $-8x$ and $2x$ to get: $-6x-16=-5x+10$

3. Isolate the variable:

   • Add $6x$ to both sides: $-16=x+10$

4. Solve for $x$:

   • Subtract $10$ from both sides: $-26=x$

Putting it all together, the correct steps are:

1. Distribute $-2$ to get $-8x-16+2x=-5x+10$.
2. Combine like terms to obtain $-6x-16=-5x+10$.
3. Add $6x$ to both sides, leading to $-16=x+10$.
4. Finally, subtract $10$ to solve for $x$, yielding $x=-26$.