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5\times 3x+4\times 2x+2x=20
Multiply both sides of the equation by 20, the least common multiple of 4,5,10.
15x+4\times 2x+2x=20
Multiply 5 and 3 to get 15.
15x+8x+2x=20
Multiply 4 and 2 to get 8.
23x+2x=20
Combine 15x and 8x to get 23x.
25x=20
Combine 23x and 2x to get 25x.
x=\frac{20}{25}
Divide both sides by 25.
x=\frac{4}{5}
Reduce the fraction \frac{20}{25} to lowest terms by extracting and canceling out 5.