Solve for x
x=5
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6+\left(x-3\right)\times 7=\left(x+5\right)\times 2
Variable x cannot be equal to any of the values -5,3 since division by zero is not defined. Multiply both sides of the equation by \left(x-3\right)\left(x+5\right), the least common multiple of x^{2}+2x-15,x+5,x-3.
6+7x-21=\left(x+5\right)\times 2
Use the distributive property to multiply x-3 by 7.
-15+7x=\left(x+5\right)\times 2
Subtract 21 from 6 to get -15.
-15+7x=2x+10
Use the distributive property to multiply x+5 by 2.
-15+7x-2x=10
Subtract 2x from both sides.
-15+5x=10
Combine 7x and -2x to get 5x.
5x=10+15
Add 15 to both sides.
5x=25
Add 10 and 15 to get 25.
x=\frac{25}{5}
Divide both sides by 5.
x=5
Divide 25 by 5 to get 5.
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