Solve for x
x=12
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6\times 2x-3\left(x-8\right)=2\times 2\left(2x+9\right)
Multiply both sides of the equation by 18, the least common multiple of 3,6,9.
12x-3\left(x-8\right)=2\times 2\left(2x+9\right)
Multiply 6 and 2 to get 12.
12x-3x+24=2\times 2\left(2x+9\right)
Use the distributive property to multiply -3 by x-8.
9x+24=2\times 2\left(2x+9\right)
Combine 12x and -3x to get 9x.
9x+24=4\left(2x+9\right)
Multiply 2 and 2 to get 4.
9x+24=8x+36
Use the distributive property to multiply 4 by 2x+9.
9x+24-8x=36
Subtract 8x from both sides.
x+24=36
Combine 9x and -8x to get x.
x=36-24
Subtract 24 from both sides.
x=12
Subtract 24 from 36 to get 12.
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