Did you know?
Did you know that expressions can often be simplified to make them easier to work with and understand? In this case, let's simplify the expression 4(x + 3) - 10 + 6x. To do this, we can start by using the distributive property, which states that when we have a number multiplied by a sum in parentheses, we can distribute or multiply that number to each term inside the parentheses.
So, applying the distributive property to 4(x + 3), we get 4 times x plus 4 times 3, which simplifies to 4x + 12. Now our expression becomes 4x + 12 - 10 + 6x.
Next, we can combine like terms. This means we can add or subtract terms that have the same variable and exponent. In our expression, we have 4x and 6x as our like terms. Adding them together gives us a total of 10x.
So now our expression becomes 10x + 12 - 10. Finally, we can simplify further by subtracting 10 from 12, which gives us 2. Therefore, the simplified expression of 4(x + 3) - 10 + 6x is 10x + 2.
By simplifying expressions like this, we can make them more manageable and easier to work with, which can be especially useful when solving equations or problems involving algebraic expressions.
