Solve for x
x=3
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3\left(2x+3\right)-7\left(6-5x\right)=24x+12+6
Multiply both sides of the equation by 21, the least common multiple of 7,3,21.
6x+9-7\left(6-5x\right)=24x+12+6
Use the distributive property to multiply 3 by 2x+3.
6x+9-42+35x=24x+12+6
Use the distributive property to multiply -7 by 6-5x.
6x-33+35x=24x+12+6
Subtract 42 from 9 to get -33.
41x-33=24x+12+6
Combine 6x and 35x to get 41x.
41x-33=24x+18
Add 12 and 6 to get 18.
41x-33-24x=18
Subtract 24x from both sides.
17x-33=18
Combine 41x and -24x to get 17x.
17x=18+33
Add 33 to both sides.
17x=51
Add 18 and 33 to get 51.
x=\frac{51}{17}
Divide both sides by 17.
x=3
Divide 51 by 17 to get 3.
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