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2\left(7x+3\right)-\left(9x-8\right)=24
Multiply both sides of the equation by 4, the least common multiple of 2,4.
14x+6-\left(9x-8\right)=24
Use the distributive property to multiply 2 by 7x+3.
14x+6-9x-\left(-8\right)=24
To find the opposite of 9x-8, find the opposite of each term.
14x+6-9x+8=24
The opposite of -8 is 8.
5x+6+8=24
Combine 14x and -9x to get 5x.
5x+14=24
Add 6 and 8 to get 14.
5x=24-14
Subtract 14 from both sides.
5x=10
Subtract 14 from 24 to get 10.
x=\frac{10}{5}
Divide both sides by 5.
x=2
Divide 10 by 5 to get 2.