Answer:
x = 109/216
Step-by-step explanation:
Solve for x:
1/36 = 6 x - 3
Hint: | Reverse the equality in 1/36 = 6 x - 3 in order to isolate x to the left hand side.
1/36 = 6 x - 3 is equivalent to 6 x - 3 = 1/36:
6 x - 3 = 1/36
Hint: | Isolate terms with x to the left hand side.
Add 3 to both sides:
6 x + (3 - 3) = 3 + 1/36
Hint: | Look for the difference of two identical terms.
3 - 3 = 0:
6 x = 1/36 + 3
Hint: | Put the fractions in 1/36 + 3 over a common denominator.
Put 1/36 + 3 over the common denominator 36. 1/36 + 3 = 1/36 + (36×3)/36:
6 x = 1/36 + (36×3)/36
Hint: | Multiply 36 and 3 together.
36×3 = 108:
6 x = 1/36 + 108/36
Hint: | Add the fractions over a common denominator to a single fraction.
1/36 + 108/36 = (1 + 108)/36:
6 x = (1 + 108)/36
Hint: | Evaluate 1 + 108.
1 + 108 = 109:
6 x = 109/36
Hint: | Solve for x.
Divide both sides by 6:
x = (109/6)/36
Hint: | Multiply 36 and 6 together.
36×6 = 216:
Answer: x = 109/216
