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5\left(2x-1\right)-\left(x+4\right)=6
Multiply both sides of the equation by 3.
10x-5-\left(x+4\right)=6
Use the distributive property to multiply 5 by 2x-1.
10x-5-x-4=6
To find the opposite of x+4, find the opposite of each term.
9x-5-4=6
Combine 10x and -x to get 9x.
9x-9=6
Subtract 4 from -5 to get -9.
9x=6+9
Add 9 to both sides.
9x=15
Add 6 and 9 to get 15.
x=\frac{15}{9}
Divide both sides by 9.
x=\frac{5}{3}
Reduce the fraction \frac{15}{9} to lowest terms by extracting and canceling out 3.