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2\left(x+3\right)-\left(4x-1\right)=18+2x
Multiply both sides of the equation by 6, the least common multiple of 3,6.
2x+6-\left(4x-1\right)=18+2x
Use the distributive property to multiply 2 by x+3.
2x+6-4x-\left(-1\right)=18+2x
To find the opposite of 4x-1, find the opposite of each term.
2x+6-4x+1=18+2x
The opposite of -1 is 1.
-2x+6+1=18+2x
Combine 2x and -4x to get -2x.
-2x+7=18+2x
Add 6 and 1 to get 7.
-2x+7-2x=18
Subtract 2x from both sides.
-4x+7=18
Combine -2x and -2x to get -4x.
-4x=18-7
Subtract 7 from both sides.
-4x=11
Subtract 7 from 18 to get 11.
x=\frac{11}{-4}
Divide both sides by -4.
x=-\frac{11}{4}
Fraction \frac{11}{-4} can be rewritten as -\frac{11}{4} by extracting the negative sign.