162k views
3 votes
What is the value of x in the equation ?

StartFraction 2 Over 3 EndFraction left-parenthesis StartFraction one-half EndFraction. x plus 12 right-parenthesis equals left-parenthesis StartFraction one-half EndFraction left-parenthesis StartFraction one-third EndFraction x plus 14 right-parenthesis minus 3.
StartFraction one-half EndFraction left-parenthesis n minus 4 right-parenthesis minus 3 equals 3 minus left-parenthesis 2 n plus 3 right-parenthesis.
2
13

2 Answers

5 votes

Final answer:

To solve for x in the equation, multiply both sides by the common denominator, combine like terms, and isolate the variable x.

Step-by-step explanation:

To solve for x in the equation StartFraction 2 Over 3 EndFraction left-parenthesis StartFraction one-half EndFraction. x plus 12 right-parenthesis equals left-parenthesis StartFraction one-half EndFraction left-parenthesis StartFraction one-third EndFraction x plus 14 right-parenthesis minus 3:

  1. Multiply both sides of the equation by the common denominator, which is 6.
  2. Combine like terms and simplify the equation.
  3. Isolate the variable x and solve for it.

The value of x in the equation is 13.

User Logu
by
3.9k points
2 votes

Answer:

the answer is n=2

Step-by-step explanation:

User Promzy
by
4.0k points