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2\times 0.2\times 10=1000\times 0.0025+1\times 0.1x
Multiply both sides of the equation by 1000.
0.4\times 10=1000\times 0.0025+1\times 0.1x
Multiply 2 and 0.2 to get 0.4.
4=1000\times 0.0025+1\times 0.1x
Multiply 0.4 and 10 to get 4.
4=2.5+1\times 0.1x
Multiply 1000 and 0.0025 to get 2.5.
4=2.5+0.1x
Multiply 1 and 0.1 to get 0.1.
2.5+0.1x=4
Swap sides so that all variable terms are on the left hand side.
0.1x=4-2.5
Subtract 2.5 from both sides.
0.1x=1.5
Subtract 2.5 from 4 to get 1.5.
x=\frac{1.5}{0.1}
Divide both sides by 0.1.
x=15
Expand \frac{1.5}{0.1} by multiplying both numerator and the denominator by 10. Anything divided by one gives itself.