Final answer:
To solve the equation 2(x-30)=14 for x, distribute the 2 to the terms inside the parentheses, add 60 to both sides, and then divide both sides by 2 to find that x = 37.
Step-by-step explanation:
To solve the equation 2(x-30)=14 for x, start by distributing the 2 to the terms inside the parentheses:
2x - 60 = 14
Next, add 60 to both sides of the equation to isolate the variable:
2x = 74
Finally, divide both sides of the equation by 2 to solve for x:
x = 37