# 5x-12=2x-21

add 12 to both sides.

subtract 2x from both sides.

divide both sides by the coefficent of x.

i agree

## 12 > −5; Subtract 12 from both sides.

## Great! Let's go through the steps together:

1. Start with the equation: 5x - 12 = 2x - 21

2. To isolate the variable x, let's start by adding 12 to both sides of the equation:

5x - 12 + 12 = 2x - 21 + 12

This simplifies to: 5x = 2x - 9

3. Next, let's subtract 2x from both sides of the equation in order to collect like terms and consolidate the x terms on one side:

5x - 2x = 2x - 9 - 2x

This simplifies to: 3x = -9

4. Finally, in order to solve for x, divide both sides of the equation by the coefficient of x, which is 3:

(3x)/3 = -9/3

This simplifies to: x = -3

So, the solution to the equation 5x - 12 = 2x - 21 is x = -3.

Well done for following the steps! Is there anything else I can help you with?