A math challenge that looks straightforward but hides a few tricky spots. An equation with a negative sign before the parenthesis can confuse even experienced calculators. Test how well you remember the rules from algebra class.

You may think linear equations are a piece of cake. But beware – once parentheses and negative signs come into play, things get complicated fast. This is where it becomes clear who really understands mathematical procedures and who is just relying on intuition. This kind of example requires a systematic approach and consistency at every step. A single carelessness in multiplying or transposing terms can throw the whole solution off the table.

What’s in store for you today?

The equation in front of you is 30 – 2(3x + 4) = x + 6. You must be careful to multiply correctly, then adjust both sides of the equation, and determine the unknown correctly. Feel free to take a piece of paper, carefully write out the steps and then check your solution.

Calculate the example. ━━ Calculate the example. ( Source: Shutterstock )

The correct solution

Did you manage to solve today’s example? Check it out.

Did you manage to arrive at the result x = 16/7? If so, congratulations!

The procedure is as follows: First, multiply by – 2(3x + 4), which gives -6x – 8. The equation then looks like this: 30 – 6x – 8 = x + 6. After adjusting the left-hand side, you get 22 – 6x = x + 6. Now move the terms with x to the left and the numbers to the right: -6x – x = 6 – 22, so -7x = -16.

This equation makes a great test for your friends or colleagues. Send them a picture and see who really understands math. Solving problems like this regularly strengthens logical thinking, trains concentration and helps keep the mind in shape. There are many more maths puzzles, IQ tests and logic challenges waiting on our website – get stuck in and find out where you really stand.