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:
- Multiply both sides of the equation by the common denominator, which is 6.
- Combine like terms and simplify the equation.
- Isolate the variable x and solve for it.
The value of x in the equation is 13.