Answer:
x=0.86842105263...
Step-by-step explanation:
So, based on what we are given, we need to get all of the "x"s to one side and all of the real numbers to one side, BUT before we do that, we need to eliminate the fractions from the problem. (Fractions are the numbers with / between them, such as 2x/3.)
First, let's multiply 2x/3 by three in order to cancel out the denominator (3). Now, when we do this, we must multiply EVERYTHING in the problem by three. That means taking -x/5*3, 3x*3, and -11/5*3. This gives us a "new" equation of 2x -3x/5 = 9x -33/5.
Next, we'll remove the second fraction: -3x/5. This can be done by multiplying EVERYTHING by 5 in order to cancel out the fraction! Take 2x*5, 9x*5, and -33/5*5 (on this last one, the 5s cancel each other out, so we are simply left with -33). This leaves us with: 10x -3x = 45x -33.
Finally, subtract 45x from the right side so that ALL of our "x"s are on the right side. Now, we can evaluate: -45x +10 -3x. This gives us -38. For the last step, we must divide both sides by -38.
This gives us our answer of 0.86842105263...
STEPS WITH NO EXPLANATION:
2x/3 -x/5 = 3x -11/5
2x -3x/5 = 9x -33/5
10x -3x = 45x -33
-45x +10x -3x = -33
-38x = -33
x = 0.86842105263...
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