Solve for x
x=-2
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2\left(2x-14\right)=3\left(x+2\right)+18x
Multiply both sides of the equation by 6, the least common multiple of 3,2.
4x-28=3\left(x+2\right)+18x
Use the distributive property to multiply 2 by 2x-14.
4x-28=3x+6+18x
Use the distributive property to multiply 3 by x+2.
4x-28=21x+6
Combine 3x and 18x to get 21x.
4x-28-21x=6
Subtract 21x from both sides.
-17x-28=6
Combine 4x and -21x to get -17x.
-17x=6+28
Add 28 to both sides.
-17x=34
Add 6 and 28 to get 34.
x=\frac{34}{-17}
Divide both sides by -17.
x=-2
Divide 34 by -17 to get -2.
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