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4\times 2x-60=-55
Multiply both sides of the equation by 20, the least common multiple of 5,4.
8x-60=-55
Multiply 4 and 2 to get 8.
8x=-55+60
Add 60 to both sides.
8x=5
Add -55 and 60 to get 5.
x=\frac{5}{8}
Divide both sides by 8.