Question

What is the value of xxx that makes the equation 27(14x−7)+3=14(2x+6)\frac{2}{7}\left(14x-7\right)+3=\frac{1}{4}\left(2x+6\right)

7
2
​
(14x−7)+3=
4
1
​
(2x+6) true?

Answer 1

x = 1/7

Explanation:

You want to know the solution to (2/7)(14x -7) +3 = (1/4)(2x +6).

Solution

Multiplying by 28 will clear the fractions.

8(14x -7) +3(28) = 7(2x +6)

112x -56 +84 = 14x +42 . . . . . . . eliminate parentheses

98x = 14 . . . . . . . . . . . . . . . add -28-14x

x = 1/7 . . . . . . . . . . . . . . divide by 98