Simplify : 2-3
x (– 7)-3
Answers
10=10
I would begin solving the given equation for x by eliminating the parentheses on the left side by performing the indicated multiplication and then isolating x on one side as follows:
2(x + 2) - 3(x - 3) = x + 7
2x + 4 - 3x + 9 = x + 7
Subtracting x from both sides, we get:
2x + 4 - 3x + 9 - x = x + 7 -x
2x + 4 - 3x + 9 - x = x - x + 7
2x + 4 - 3x + 9 - x = 0 + 7
2x + 4 - 3x + 9 - x = 7
Collecting like terms on the left, we get:
2x - 3x - x + 4 + 9 = 7
(2 - 3 - 1)x + 13 = 7
-2x + 13 = 7
Now, subtracting 13 from both sides, we have:
-2x + 13 - 13 = 7 - 13
-2x + 0 = -6
-2x = -6
Now, dividing both sides by -2:
-2x/-2 = -6/-2
(-2/-2)x = 3
(1)x = 3
x = 3 is the solution to the given equation.
CHECK:
2(x + 2) - 3(x - 3) = x + 7
2(3+ 2) - 3(3 - 3) = 3 + 7
2(5) - 3(0) = 10
10 - 0 = 10
10 = 10
Answer: