Answer:
- simplifies to -2x -17 = 5x -10
- x = -1 . . . . the solution
Explanation:
-2(x+5)-7=3x+2(x-5) . . . . starting equation
-2x -10 -7 = 3x +2x -10 . . . eliminate parentheses using the distributive property
-2x -17 = 5x -10 . . . . . . . . . collect terms
-7 -2x = 5x . . . . . . . . . . . . . add 10
-7 = 7x . . . . . . . . . . . . . . . . . add 2x
-1 = x . . . . . . . . . . . . . . . . . . . divide by 7