Answer:
x = 9/5 (or x = 1.8 as a decimal).
Explanation:
We can solve for x using the following steps:
Step 1: Distribute -7 to (-x - 1) and -1 to (-2x - 3):
-7 + (-7 * -x) + (-7 * -1) = 6 + (-1 * -2x) + (-1 * -3)
-7 + 7x + 7 = 6 + 2x + 3
Step 2: Combine like terms on both sides:
7x = 2x + 9
Step 3: Subtract 2x from both sides:
(7x =2x + 9) - 2x
5x = 9
Step 4: Divide both sides by 5 to solve for x:
(5x = 9) / 5
x = 9/5
Thus, x = 9/5.
If you prefer the decimal answer, x = 1.8.
Optional Step 5: Check the validity of the answer by substituting 9/5 for x and ensuring that you get the same answer on both sides:
-7 - 7(-9/5 - 1) = 6 - (-2(9/5) - 3)
-7 - 7(-14/5) = 6 - (-18/5 - 3)
-7 + 98/5 = 6 - (-33/5)
63/5 = 6 + 33/5
63/5 = 63/5
Thus, our answer is correct.