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 the 5 and the -7 to the terms inside the parentheses: 5*x + 5*3 - 7*x + 7*4 = 38
2. Simplify both sides of the equation: 5x + 15 - 7x + 28 = 38
3. Combine like terms: (5x - 7x) + (15 + 28) = 38
4. Further simplify: -2x + 43 = 38
5. Subtract 43 from both sides of the equation: -2x + 43 - 43 = 38 - 43
6. Simplify: -2x = -5
7. Divide both sides of the equation by -2 to isolate x: (-2x)/(-2) = (-5)/(-2)
8. Simplify: x = 5/2 or x = 2.5