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228\left(2\times 2+\left(19-1\right)\times 2\right)+48=x
Multiply both sides of the equation by 24, the least common multiple of 2,24.
228\left(4+\left(19-1\right)\times 2\right)+48=x
Multiply 2 and 2 to get 4.
228\left(4+18\times 2\right)+48=x
Subtract 1 from 19 to get 18.
228\left(4+36\right)+48=x
Multiply 18 and 2 to get 36.
228\times 40+48=x
Add 4 and 36 to get 40.
9120+48=x
Multiply 228 and 40 to get 9120.
9168=x
Add 9120 and 48 to get 9168.
x=9168
Swap sides so that all variable terms are on the left hand side.