Hello!
To solve for the variable x, we need to follow the rules of SADMEP. SADMEP is ONLY used when solving algebraic equations. SADMEP is an acronym for subtraction, addition, division, multiplication, exponents, and parentheses. Also, when solving for x, our main goal is to isolate x to one side of the equation.
2(x + 14) + x = 70 (use the distributive property)
2x + 28 + x = 70 (simplify - add)
3x + 28 = 70 (subtract 28 from both sides)
3x = 42 (divide both sides by 3)
x = 14
When solving ANY algebraic equation, we need check our answer. To check your answer, you substitute the x-value, which is 14 in this case, into the original equation and solve using PEMDAS.
2(x + 14) + x = 70 (substitute x = 14)
2(14 + 14) + 14 = 70 (simplify the terms inside the parentheses)
2(28) + 14 = 70 (simplify - multiply)
56 + 14 = 70 (simplify - add alike term)
70 = 70 | This is correct!
Therefore, your final answer is x = 14, which is choice C.