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2\left(7x+13\right)=3\left(6x+2\right)
Multiply both sides of the equation by 6, the least common multiple of 3,2.
14x+26=3\left(6x+2\right)
Use the distributive property to multiply 2 by 7x+13.
14x+26=18x+6
Use the distributive property to multiply 3 by 6x+2.
14x+26-18x=6
Subtract 18x from both sides.
-4x+26=6
Combine 14x and -18x to get -4x.
-4x=6-26
Subtract 26 from both sides.
-4x=-20
Subtract 26 from 6 to get -20.
x=\frac{-20}{-4}
Divide both sides by -4.
x=5
Divide -20 by -4 to get 5.