Solve for x
x=7
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x-2+\left(x-4\right)\times 2=2x-3
Variable x cannot be equal to any of the values 2,4 since division by zero is not defined. Multiply both sides of the equation by \left(x-4\right)\left(x-2\right), the least common multiple of x-4,x-2,x^{2}-6x+8.
x-2+2x-8=2x-3
Use the distributive property to multiply x-4 by 2.
3x-2-8=2x-3
Combine x and 2x to get 3x.
3x-10=2x-3
Subtract 8 from -2 to get -10.
3x-10-2x=-3
Subtract 2x from both sides.
x-10=-3
Combine 3x and -2x to get x.
x=-3+10
Add 10 to both sides.
x=7
Add -3 and 10 to get 7.
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