Solve for x
x=-25
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4\times 1200=3\times 2000+12x\times 4
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 12x, the least common multiple of 3x,4x.
4800=3\times 2000+12x\times 4
Multiply 4 and 1200 to get 4800.
4800=6000+12x\times 4
Multiply 3 and 2000 to get 6000.
4800=6000+48x
Multiply 12 and 4 to get 48.
6000+48x=4800
Swap sides so that all variable terms are on the left hand side.
48x=4800-6000
Subtract 6000 from both sides.
48x=-1200
Subtract 6000 from 4800 to get -1200.
x=\frac{-1200}{48}
Divide both sides by 48.
x=-25
Divide -1200 by 48 to get -25.
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