9514 1404 393
Answer:
x = -4
Step-by-step explanation:
The distributive property is used to eliminate parentheses.
7(x -2) -3(x +3) = 5(x -3) +x . . . . given
7x -14 -3x -9 = 5x -15 +x . . . . . eliminate parentheses
4x -23 = 6x -15 . . . . . . . . . . . collect terms
-8 = 2x . . . . . . . . . . . . . . subtract 4x+15 from both sides
-4 = x . . . . . . . . . . . . divide by 2
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Check
7(-4 -2) -3(-4 +3) = 5(-4 -3) +(-4)
7(-6) -3(-1) = 5(-7) -4
-42 +3 = -35 -4
-39 = -39 . . . . . answer checks OK
