Solve for x
x = \frac{44}{7} = 6\frac{2}{7} \approx 6.285714286
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\left(x-2\right)\times 240=\left(x+4\right)\times 100
Variable x cannot be equal to any of the values -4,2 since division by zero is not defined. Multiply both sides of the equation by \left(x-2\right)\left(x+4\right), the least common multiple of x+4,x-2.
240x-480=\left(x+4\right)\times 100
Use the distributive property to multiply x-2 by 240.
240x-480=100x+400
Use the distributive property to multiply x+4 by 100.
240x-480-100x=400
Subtract 100x from both sides.
140x-480=400
Combine 240x and -100x to get 140x.
140x=400+480
Add 480 to both sides.
140x=880
Add 400 and 480 to get 880.
x=\frac{880}{140}
Divide both sides by 140.
x=\frac{44}{7}
Reduce the fraction \frac{880}{140} to lowest terms by extracting and canceling out 20.
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