Solve for x
x = \frac{36}{11} = 3\frac{3}{11} \approx 3.272727273
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6\left(x-1\right)+15\left(x-2\right)=10x
Multiply both sides of the equation by 30, the least common multiple of 5,2,3.
6x-6+15\left(x-2\right)=10x
Use the distributive property to multiply 6 by x-1.
6x-6+15x-30=10x
Use the distributive property to multiply 15 by x-2.
21x-6-30=10x
Combine 6x and 15x to get 21x.
21x-36=10x
Subtract 30 from -6 to get -36.
21x-36-10x=0
Subtract 10x from both sides.
11x-36=0
Combine 21x and -10x to get 11x.
11x=36
Add 36 to both sides. Anything plus zero gives itself.
x=\frac{36}{11}
Divide both sides by 11.
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