# How do you solve #1/2(4x+6)=1/3(9x-24)#?

Step 1: Extend the terms enclosed in parenthesis:

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To solve the equation 1/2(4x+6)=1/3(9x-24), we can start by simplifying both sides of the equation.

First, we distribute the fractions on each side: 1/2 * 4x + 1/2 * 6 = 1/3 * 9x - 1/3 * 24

This simplifies to: 2x + 3 = 3x - 8

Next, we can isolate the variable terms on one side and the constant terms on the other side: 2x - 3x = -8 - 3

Simplifying further: -x = -11

To solve for x, we multiply both sides of the equation by -1 to eliminate the negative sign: x = 11

Therefore, the solution to the equation 1/2(4x+6)=1/3(9x-24) is x = 11.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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