Solve for x
x=5
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\left(x-4\right)\times 90=\left(x+4\right)\times 10
Variable x cannot be equal to any of the values -4,4 since division by zero is not defined. Multiply both sides of the equation by \left(x-4\right)\left(x+4\right), the least common multiple of x+4,x-4.
90x-360=\left(x+4\right)\times 10
Use the distributive property to multiply x-4 by 90.
90x-360=10x+40
Use the distributive property to multiply x+4 by 10.
90x-360-10x=40
Subtract 10x from both sides.
80x-360=40
Combine 90x and -10x to get 80x.
80x=40+360
Add 360 to both sides.
80x=400
Add 40 and 360 to get 400.
x=\frac{400}{80}
Divide both sides by 80.
x=5
Divide 400 by 80 to get 5.
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