Solve for x
x=2
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2\left(3x-5\right)+2x+1=7\left(2x-3\right)
Multiply both sides of the equation by 14, the least common multiple of 7,14,2.
6x-10+2x+1=7\left(2x-3\right)
Use the distributive property to multiply 2 by 3x-5.
8x-10+1=7\left(2x-3\right)
Combine 6x and 2x to get 8x.
8x-9=7\left(2x-3\right)
Add -10 and 1 to get -9.
8x-9=14x-21
Use the distributive property to multiply 7 by 2x-3.
8x-9-14x=-21
Subtract 14x from both sides.
-6x-9=-21
Combine 8x and -14x to get -6x.
-6x=-21+9
Add 9 to both sides.
-6x=-12
Add -21 and 9 to get -12.
x=\frac{-12}{-6}
Divide both sides by -6.
x=2
Divide -12 by -6 to get 2.
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