# Algebra trick - solve equations instantly for variables on each side of the equation | Summary and Q&A

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October 17, 2013
by
tecmath
Algebra trick - solve equations instantly for variables on each side of the equation

## TL;DR

This video demonstrates how to solve algebraic equations with pronumerals on both sides using simple steps.

## Key Insights

• 🙃 Equations with pronumerals on both sides can be solved by isolating the pronumerals on one side and the constants on the other side.
• 🍉 The opposite operation is used to move terms or numbers to the other side of the equation.
• 🙃 It is important to perform the same operation on both sides of the equation to maintain equality.
• ❓ The solution is obtained by simplifying the equation and finding the value of the pronumeral.
• 🙃 Algebraic equations with pronumerals on both sides follow the same steps to reach the solution.
• ✖️ Solving such equations involves basic arithmetic operations like addition, subtraction, multiplication, and division.
• ❓ Practice and familiarity with these steps can make solving equations with pronumerals easier.

## Transcript

good day welcome to Tech math Channel what we're going to be having a look at in this video is we're going to be looking at our this algebra video we're going to be having a look at how to solve equations with proone numerals on both sides these are ones that say look like this one and we had a nice easy one it looked say like this 5 a take away 9 ... Read More

### Q: How do you solve equations with pronumerals on both sides?

To solve equations with pronumerals on both sides, the first step is to isolate the pronumerals on one side and the constants on the other side. Then simplify the equation using addition, subtraction, multiplication, or division, until the pronumeral is isolated.

### Q: What is the significance of the opposite operation in solving equations?

The opposite operation is used to eliminate terms or numbers on one side of the equation and move them to the other side. This helps to isolate the pronumerals and simplify the equation.

### Q: Can you explain the steps for solving the equation x - 15 = 2x + 11?

To solve this equation, start by isolating the pronumerals. Subtract x from both sides to get -15 = x + 11. Then, subtract 11 from both sides to get -26 = x. Therefore, the solution is x = -26.

### Q: Are all algebraic equations with pronumerals on both sides solved using the same steps?

Yes, the steps to solve equations with pronumerals on both sides remain consistent. The goal is to isolate the pronumerals on one side and the constants on the other side, and then simplify the equation to find the solution.

## Summary & Key Takeaways

• The video explains the process of solving equations with pronumerals on both sides, using examples such as 5a - 9 = 3a + 11 and x - 15 = 2x + 11.

• The key approach is to isolate the pronumerals on one side of the equation and the constants on the other side.

• The solutions are obtained by simplifying the equations and solving for the pronumeral by applying appropriate operations.