3x−9−11x−2=3x−8x+13
Solution
Sure, let's solve the equation step by step:
Given equation: 3x−9−11x−2=3x−8x+13
Step 1: Simplify both sides of the equation.
On the left side, combine like terms: 3x - 11x gives -8x, and -9 - 2 gives -11. So, the left side becomes -8x - 11.
On the right side, combine like terms: 3x - 8x gives -5x. So, the right side becomes -5x + 13.
So, the equation now is: -8x - 11 = -5x + 13
Step 2: Get all the x terms on one side and the numbers on the other side.
To do this, add 8x to both sides to get rid of -8x on the left side and add 5x to both sides to get rid of -5x on the right side. Also, subtract 13 from both sides to get rid of +13 on the right side and add 11 to both sides to get rid of -11 on the left side.
This gives: 3x = -2
Step 3: Solve for x by dividing both sides by 3.
x = -2/3
So, the solution to the equation is x = -2/3.
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