Solve for x
x=\frac{1}{11}\approx 0.090909091
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3\left(x+5\right)=6-6x-2\left(x-5\right)
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3x+15=6-6x-2\left(x-5\right)
Use the distributive property to multiply 3 by x+5.
3x+15=6-6x-2x+10
Use the distributive property to multiply -2 by x-5.
3x+15=6-8x+10
Combine -6x and -2x to get -8x.
3x+15=16-8x
Add 6 and 10 to get 16.
3x+15+8x=16
Add 8x to both sides.
11x+15=16
Combine 3x and 8x to get 11x.
11x=16-15
Subtract 15 from both sides.
11x=1
Subtract 15 from 16 to get 1.
x=\frac{1}{11}
Divide both sides by 11.
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