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2\left(2+x\right)+50=5x
Multiply both sides of the equation by 10, the least common multiple of 5,2.
4+2x+50=5x
Use the distributive property to multiply 2 by 2+x.
54+2x=5x
Add 4 and 50 to get 54.
54+2x-5x=0
Subtract 5x from both sides.
54-3x=0
Combine 2x and -5x to get -3x.
-3x=-54
Subtract 54 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-54}{-3}
Divide both sides by -3.
x=18
Divide -54 by -3 to get 18.