Answer:
x = 3
Explanation:
We can solve for x using the following steps:
Step 1: Distribute the -3 to (5 - 2x):
7 + (-3 * 5) + (-3 * -2x) = 10
7 - 15 + 6x = 10
Step 2: Combine like terms on the left-hand side:
-8 + 6x = 10
Step 3: Add 8 to both sides:
(-8 + 6x = 10) + 8
6x = 18
Step 4: Divide both sides by 6 to solve for x:
(6x = 18) / 6
x = 3
Thus, x = 3.
Optional Step 4: Check the validity of the answer by plugging in 3 for x and ensure that you get 10 on both sides:
7 - 3(5 - 2 * 3) = 10
7 - 3(5 - 6) = 10
7 - 3(-1) = 10
7 + 3 = 10
10 = 10
Thus, our answer is correct.