Solve for x
x=44
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\left(x-4\right)\times 6=\left(x+4\right)\times 5
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.
6x-24=\left(x+4\right)\times 5
Use the distributive property to multiply x-4 by 6.
6x-24=5x+20
Use the distributive property to multiply x+4 by 5.
6x-24-5x=20
Subtract 5x from both sides.
x-24=20
Combine 6x and -5x to get x.
x=20+24
Add 24 to both sides.
x=44
Add 20 and 24 to get 44.
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