5x-6 = 2x+12
It says x=3 but I don't understand how, can you you explain the steps for me?
5x-6 = 2x+12
Combine like terms. Subtract 2x from both sides of the equation.
5x - 2x - 6 = 12
3x - 6 = 12
Add 6 to both sides.
3x = 12 + 6
3x = 18
Divide both sides by 3.
x = 18/3
x = 6
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It looks like x does not equal 3. Let's try substituting 3 for x.
5x-6 = 2x+12
(5 * 3) - 6 = (2 * 3) + 12
15 - 6 = 6 + 12
Nope! 3 doesn't work.
5x-6=2x+12
You subtract 12 on both sides of the equal sign
Then you get 5x-18=2x
Subtract 5x on both sides
-18=-3x
Divide by -3 both sides
You get x=6
Thank You That Is What I Got Also, But The Workbook Said x equaled 3
Im sorry but the books wrong
Sure! I'd be happy to explain the steps to solve the equation 5x - 6 = 2x + 12.
Step 1: Start by gathering all the x terms on one side of the equation. To do this, subtract 2x from both sides of the equation:
5x - 2x - 6 = 2x - 2x + 12
Simplifying, we get:
3x - 6 = 12
Step 2: Next, get rid of the constant term (-6) on the left side of the equation. To do this, add 6 to both sides:
3x - 6 + 6 = 12 + 6
Simplifying, we get:
3x = 18
Step 3: Finally, solve for x by dividing both sides of the equation by 3 (the coefficient of x):
(3x)/3 = 18/3
Simplifying, we get:
x = 6
So the solution to the equation 5x - 6 = 2x + 12 is x = 6.