Answer:
To prove that x = 10, we can solve the given equation step by step:
Given: 5x - 18 = 3x + 2
First, we want to isolate the variable x. To do that, we'll start by getting all the x terms on one side of the equation and the constants on the other side.
Subtract 3x from both sides of the equation:
5x - 3x - 18 = 3x - 3x + 2
This simplifies to:
2x - 18 = 2
Next, add 18 to both sides of the equation to isolate the 2x term:
2x - 18 + 18 = 2 + 18
This simplifies to:
2x = 20
Now, to solve for x, divide both sides by 2:
(2x)/2 = 20/2
This simplifies to:
x = 10
So, we have proven that x = 10 is the solution to the given equation.