Solve for x
x=20
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5\times 200=4\times 200+20x\times 0.5
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 20x, the least common multiple of 4x,5x.
1000=4\times 200+20x\times 0.5
Multiply 5 and 200 to get 1000.
1000=800+20x\times 0.5
Multiply 4 and 200 to get 800.
1000=800+10x
Multiply 20 and 0.5 to get 10.
800+10x=1000
Swap sides so that all variable terms are on the left hand side.
10x=1000-800
Subtract 800 from both sides.
10x=200
Subtract 800 from 1000 to get 200.
x=\frac{200}{10}
Divide both sides by 10.
x=20
Divide 200 by 10 to get 20.
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