Solve for x
x=28
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\left(x+7\right)\times 3=\left(x-7\right)\times 5
Variable x cannot be equal to any of the values -7,7 since division by zero is not defined. Multiply both sides of the equation by \left(x-7\right)\left(x+7\right), the least common multiple of x-7,x+7.
3x+21=\left(x-7\right)\times 5
Use the distributive property to multiply x+7 by 3.
3x+21=5x-35
Use the distributive property to multiply x-7 by 5.
3x+21-5x=-35
Subtract 5x from both sides.
-2x+21=-35
Combine 3x and -5x to get -2x.
-2x=-35-21
Subtract 21 from both sides.
-2x=-56
Subtract 21 from -35 to get -56.
x=\frac{-56}{-2}
Divide both sides by -2.
x=28
Divide -56 by -2 to get 28.
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