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4x-6\left(-\frac{2\times 2+1}{2}\right)=18
Multiply both sides of the equation by 2.
4x-6\left(-\frac{4+1}{2}\right)=18
Multiply 2 and 2 to get 4.
4x-6\left(-\frac{5}{2}\right)=18
Add 4 and 1 to get 5.
4x-\frac{6\left(-5\right)}{2}=18
Express 6\left(-\frac{5}{2}\right) as a single fraction.
4x-\frac{-30}{2}=18
Multiply 6 and -5 to get -30.
4x-\left(-15\right)=18
Divide -30 by 2 to get -15.
4x+15=18
The opposite of -15 is 15.
4x=18-15
Subtract 15 from both sides.
4x=3
Subtract 15 from 18 to get 3.
x=\frac{3}{4}
Divide both sides by 4.