Solve for x
x=13
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47=7x-3-4x-\left(-11\right)
To find the opposite of 4x-11, find the opposite of each term.
47=7x-3-4x+11
The opposite of -11 is 11.
47=3x-3+11
Combine 7x and -4x to get 3x.
47=3x+8
Add -3 and 11 to get 8.
3x+8=47
Swap sides so that all variable terms are on the left hand side.
3x=47-8
Subtract 8 from both sides.
3x=39
Subtract 8 from 47 to get 39.
x=\frac{39}{3}
Divide both sides by 3.
x=13
Divide 39 by 3 to get 13.
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