Solve for x
x = \frac{17}{14} = 1\frac{3}{14} \approx 1.214285714
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6\left(2x-3\right)+2\left(x+5\right)=9
Multiply both sides of the equation by 12, the least common multiple of 4,6.
12x-18+2\left(x+5\right)=9
Use the distributive property to multiply 6 by 2x-3.
12x-18+2x+10=9
Use the distributive property to multiply 2 by x+5.
14x-18+10=9
Combine 12x and 2x to get 14x.
14x-8=9
Add -18 and 10 to get -8.
14x=9+8
Add 8 to both sides.
14x=17
Add 9 and 8 to get 17.
x=\frac{17}{14}
Divide both sides by 14.
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