Solve for x
x = \frac{31}{18} = 1\frac{13}{18} \approx 1.722222222
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15\times 3-10\times 5=18\left(x-2\right)
Variable x cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by 30\left(x-2\right), the least common multiple of 2x-4,3x-6,5.
45-50=18\left(x-2\right)
Do the multiplications.
-5=18\left(x-2\right)
Subtract 50 from 45 to get -5.
-5=18x-36
Use the distributive property to multiply 18 by x-2.
18x-36=-5
Swap sides so that all variable terms are on the left hand side.
18x=-5+36
Add 36 to both sides.
18x=31
Add -5 and 36 to get 31.
x=\frac{31}{18}
Divide both sides by 18.
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