Solve for x
x = -\frac{41}{2} = -20\frac{1}{2} = -20.5
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\left(x-2\right)\times 3=\left(x+7\right)\times 5
Variable x cannot be equal to any of the values -7,2 since division by zero is not defined. Multiply both sides of the equation by \left(x-2\right)\left(x+7\right), the least common multiple of x+7,x-2.
3x-6=\left(x+7\right)\times 5
Use the distributive property to multiply x-2 by 3.
3x-6=5x+35
Use the distributive property to multiply x+7 by 5.
3x-6-5x=35
Subtract 5x from both sides.
-2x-6=35
Combine 3x and -5x to get -2x.
-2x=35+6
Add 6 to both sides.
-2x=41
Add 35 and 6 to get 41.
x=\frac{41}{-2}
Divide both sides by -2.
x=-\frac{41}{2}
Fraction \frac{41}{-2} can be rewritten as -\frac{41}{2} by extracting the negative sign.
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