Question

How do you solve $10 + 4x = 5(x - 6) + 33$?

Answer 1

To evaluate the given problem, we need to use the BODMAS rule, by using the rule we can solve this problem without any error. Evaluating bracketed terms should be our first priority in solving this problem. And then perform the normal addition and subtraction operations.

Complete step by step solution:
Let us consider the given question,
$10 + 4x = 5(x - 6) + 33$

Observe the terms in the question for ten second and see if there is any bracketed term. If you find any, then solve it first. Let us solve the bracketed term $5(x - 6)$ which will be equal to $5x - 30$ and the equation becomes,

$10 + 4x = 5x - 30 + 33 \\\ 10 + 4x = 5x + 3 \\\ 5x - 4x = 10 - 7 \\\ x = 3 \\\$
After solving the bracketed term, it will be easy for us to solve the other operation like addition and subtraction. And this is our required solution.

Additional information: BODMAS rule is a rule which to be followed in simplification problems. The abbreviation for the BODMAS is B- Bracket, O- Orders, D- Division, M- Multiplication, A- Addition, S- Subtraction. BODMAS, it is the order in which we have to solve a problem. As I mentioned above, first solve the Bracket term and then division followed by addition and subtraction.

Note: This is a simple approach to solve this problem. Whatever may be the question, we can easily solve the problem by using the BODMAS rule. After solving the bracketed term, we can move on with the addition and subtraction. Though we have a number of methods to solve this problem, it is the easy way to solve this problem with any error in the calculation.