You have been given the following equation to solve as a challenge by your friend. Create a list of steps that you could follow to find the solution. Make sure to include all steps in the correct order.
5(x+3)−7(x−4)=38
1. Distribute through the equation by multiplying 5 to both terms inside the parenthesis: 5x + 15 - 7(x - 4) = 38
2. Distribute through the equation by multiplying -7 to both terms inside the parenthesis: 5x + 15 - 7x + 28 = 38
3. Combine like terms: -2x + 43 = 38
4. Move constant term to the other side of the equation: -2x = 38 - 43
5. Simplify the constant terms: -2x = -5
6. Divide both sides of the equation by -2 to solve for x: x = -5 / -2
7. Simplify the fraction: x = 5/2 or x = 2.5