Solve for x
x=8
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\left(x-3\right)\times 6=\left(x-2\right)\times 5
Variable x cannot be equal to any of the values 2,3 since division by zero is not defined. Multiply both sides of the equation by \left(x-3\right)\left(x-2\right), the least common multiple of x-2,x-3.
6x-18=\left(x-2\right)\times 5
Use the distributive property to multiply x-3 by 6.
6x-18=5x-10
Use the distributive property to multiply x-2 by 5.
6x-18-5x=-10
Subtract 5x from both sides.
x-18=-10
Combine 6x and -5x to get x.
x=-10+18
Add 18 to both sides.
x=8
Add -10 and 18 to get 8.
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