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5x+8=2\times 2x+5\times 2
Multiply both sides of the equation by 10, the least common multiple of 2,5.
5x+8=4x+10
Multiply 2 and 2 to get 4. Multiply 5 and 2 to get 10.
5x+8-4x=10
Subtract 4x from both sides.
x+8=10
Combine 5x and -4x to get x.
x=10-8
Subtract 8 from both sides.
x=2
Subtract 8 from 10 to get 2.