Solve and check: 24 + 3 (x + 2) = 5(x − 12).

Question

Accepted Answer

Welcome back. I'm so glad you're here. We have the equation 10 plus three times parentheses. X plus seven and parentheses equals two times parentheses X minus 13. And we are to solve for X. Well let's recall from previous lessons the order of operations, parentheses, exponents, multiplication and division from left to right and addition and subtraction from left to right or pandas. And what do we start with here? Well we have some parentheses but they aren't like terms inside the parentheses. So we must be starting off with multiplication. This three squished up against the first set of parentheses and this too squished up against the second set of parentheses. So let's do the multiplication. Bring down that 10 plus and then we've got three times X which is three X. And three times seven which is plus 21 equals. And on the right hand side two times X which is two X. And then two times negative 13 which is minus 26. Now we can get the like terms combined on the left we've got a 10 plus a 21. So that will be a three X plus. Now 31 equals two X minus 26. Now let's get the X. Is on the left hand side. Subtract two X from both sides and on the left will have just an X plus 31 equals on the right and negative 26. Now let's subtract 31 from both sides to get the X by itself on the left. So we've got X equals and negative 26 plus negative 31 gives us a negative 57. We look at our answer choices and that matches with answer choice B. Well done, we'll catch you on the next one.

Solve and check: 24 + 3 (x + 2) = 5(x − 12).

Key Concepts

Distributive Property

Combining Like Terms

Isolating the Variable

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