Solve for x
x = \frac{117}{11} = 10\frac{7}{11} \approx 10.636363636
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6\left(x-2\right)+5\left(x+3\right)=120
Multiply both sides of the equation by 30, the least common multiple of 5,6.
6x-12+5\left(x+3\right)=120
Use the distributive property to multiply 6 by x-2.
6x-12+5x+15=120
Use the distributive property to multiply 5 by x+3.
11x-12+15=120
Combine 6x and 5x to get 11x.
11x+3=120
Add -12 and 15 to get 3.
11x=120-3
Subtract 3 from both sides.
11x=117
Subtract 3 from 120 to get 117.
x=\frac{117}{11}
Divide both sides by 11.
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