Solve for x
x = \frac{39}{16} = 2\frac{7}{16} = 2.4375
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6\left(x+1\right)+5\left(2x-3\right)=30
Multiply both sides of the equation by 30, the least common multiple of 5,6.
6x+6+5\left(2x-3\right)=30
Use the distributive property to multiply 6 by x+1.
6x+6+10x-15=30
Use the distributive property to multiply 5 by 2x-3.
16x+6-15=30
Combine 6x and 10x to get 16x.
16x-9=30
Subtract 15 from 6 to get -9.
16x=30+9
Add 9 to both sides.
16x=39
Add 30 and 9 to get 39.
x=\frac{39}{16}
Divide both sides by 16.
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