Answer:
x = -6
Step-by-step explanation:
Solve for x:
(4 x + 6)/2 + 3 = -6
Hint: | Put the fractions in (4 x + 6)/2 + 3 over a common denominator.
Put each term in (4 x + 6)/2 + 3 over the common denominator 2: (4 x + 6)/2 + 3 = 6/2 + (4 x + 6)/2:
6/2 + (4 x + 6)/2 = -6
Hint: | Combine 6/2 + (4 x + 6)/2 into a single fraction.
6/2 + (4 x + 6)/2 = ((4 x + 6) + 6)/2:
(4 x + 6 + 6)/2 = -6
Hint: | Add the numbers in 4 x + 6 + 6 together.
Add like terms. 6 + 6 = 12:
(4 x + 12)/2 = -6
Hint: | Multiply both sides by a constant to simplify the equation.
Multiply both sides of (4 x + 12)/2 = -6 by 2:
(2 (4 x + 12))/2 = -6×2
Hint: | Cancel common terms in the numerator and denominator of (2 (4 x + 12))/2.
(2 (4 x + 12))/2 = 2/2×(4 x + 12) = 4 x + 12:
4 x + 12 = -6×2
Hint: | Multiply 2 and -6 together.
2 (-6) = -12:
4 x + 12 = -12
Hint: | Isolate terms with x to the left hand side.
Subtract 12 from both sides:
4 x + (12 - 12) = -12 - 12
Hint: | Look for the difference of two identical terms.
12 - 12 = 0:
4 x = -12 - 12
Hint: | Evaluate -12 - 12.
-12 - 12 = -24:
4 x = -24
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 4 x = -24 by 4:
(4 x)/4 = (-24)/4
Hint: | Any nonzero number divided by itself is one.
4/4 = 1:
x = (-24)/4
Hint: | Reduce (-24)/4 to lowest terms. Start by finding the GCD of -24 and 4.
The gcd of -24 and 4 is 4, so (-24)/4 = (4 (-6))/(4×1) = 4/4×-6 = -6:
Answer: x = -6
