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900=900+\left(50-\left(35+x\right)\right)\times 10
Multiply both sides of the equation by 30.
900=900+\left(50-35-x\right)\times 10
To find the opposite of 35+x, find the opposite of each term.
900=900+\left(15-x\right)\times 10
Subtract 35 from 50 to get 15.
900=900+150-10x
Use the distributive property to multiply 15-x by 10.
900=1050-10x
Add 900 and 150 to get 1050.
1050-10x=900
Swap sides so that all variable terms are on the left hand side.
-10x=900-1050
Subtract 1050 from both sides.
-10x=-150
Subtract 1050 from 900 to get -150.
x=\frac{-150}{-10}
Divide both sides by -10.
x=15
Divide -150 by -10 to get 15.