Solve for x
x = \frac{3}{2} = 1\frac{1}{2} = 1.5
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1=7-3x-\left(18-11x\right)
Subtract 1 from 2 to get 1.
1=7-3x-18-\left(-11x\right)
To find the opposite of 18-11x, find the opposite of each term.
1=7-3x-18+11x
The opposite of -11x is 11x.
1=-11-3x+11x
Subtract 18 from 7 to get -11.
1=-11+8x
Combine -3x and 11x to get 8x.
-11+8x=1
Swap sides so that all variable terms are on the left hand side.
8x=1+11
Add 11 to both sides.
8x=12
Add 1 and 11 to get 12.
x=\frac{12}{8}
Divide both sides by 8.
x=\frac{3}{2}
Reduce the fraction \frac{12}{8} to lowest terms by extracting and canceling out 4.
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