Answer:
d. x = 5
Explanation:
Solve for x:
x - 3 = 7 - x
Hint: | Move terms with x to the left hand side.
Add x to both sides:
x + x - 3 = (x - x) + 7
Hint: | Look for the difference of two identical terms.
x - x = 0:
x + x - 3 = 7
Hint: | Add like terms in x + x - 3.
x + x = 2 x:
2 x - 3 = 7
Hint: | Isolate terms with x to the left hand side.
Add 3 to both sides:
2 x + (3 - 3) = 3 + 7
Hint: | Look for the difference of two identical terms.
3 - 3 = 0:
2 x = 7 + 3
Hint: | Evaluate 7 + 3.
7 + 3 = 10:
2 x = 10
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 2 x = 10 by 2:
(2 x)/2 = 10/2
Hint: | Any nonzero number divided by itself is one.
2/2 = 1:
x = 10/2
Hint: | Reduce 10/2 to lowest terms. Start by finding the GCD of 10 and 2.
The gcd of 10 and 2 is 2, so 10/2 = (2×5)/(2×1) = 2/2×5 = 5:
Answer: x = 5