Solve for x
x=22
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\left(x-3\right)\times 7-8=\left(x+3\right)\times 5
Variable x cannot be equal to any of the values -3,3 since division by zero is not defined. Multiply both sides of the equation by \left(x-3\right)\left(x+3\right), the least common multiple of x+3,x^{2}-9,x-3.
7x-21-8=\left(x+3\right)\times 5
Use the distributive property to multiply x-3 by 7.
7x-29=\left(x+3\right)\times 5
Subtract 8 from -21 to get -29.
7x-29=5x+15
Use the distributive property to multiply x+3 by 5.
7x-29-5x=15
Subtract 5x from both sides.
2x-29=15
Combine 7x and -5x to get 2x.
2x=15+29
Add 29 to both sides.
2x=44
Add 15 and 29 to get 44.
x=\frac{44}{2}
Divide both sides by 2.
x=22
Divide 44 by 2 to get 22.
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