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If both sides of an equation are not equal, it won't be an equation any more!

In solving equations, the strategy is to change both sides in the same way, so that an 'equivalent' equation is produced. An equivalent equation has the same solution as the original equation.

You are aiming for an equation in which the variable is alone on one side. The quantity on the other side is the solution.

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Q: Why is it important to keep both sides of the equation equal?

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In an equation, the left side has the same value as the right side. The importance of doing the same thing to both sides is to keep the value of both sides the same so the equation does not change.

Equal sums on both sides of the equation would be 29 + 29 = 58

It is not an equation because there is no equal sign

The property is: If equals are subtracted from equals, the results are equal.

The Addition Property of Equality states that if you add the same number to both sides of an equation the two sides remain equal. Source- My mathbook.

Related questions

An equation has two sides, and each of these sides is equal to the other.

Equal quantities may be added to both sides of a linear equation.

If you divide the same number from both sides of the equation,then the sides remain equal.

That both sides of the equation must be equal

That both sides of the equal sign are balanced.

If both sides are equal, it's called an equation. If both sides are NOT equal, it's called an inequality.

Equal

It was an equation to start with. That is, both sides were equal. So, if you do the same thing to each side they will still be equal. You can also add or subtract the same number from each side and they will be equal. As long as you treat both sides the same they will remain the alike -- that is, they will remain equal.

when an equation is balanced, both sides of the equation( products and reactants), equal the same amount.

Equal

In an equation, the left side has the same value as the right side. The importance of doing the same thing to both sides is to keep the value of both sides the same so the equation does not change.

Yes, the point is that if two terms (or sides of the equation) are equal, then they remain equal as long as you add or subtract the same amount, to or from both of them. It's very logical.

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