Solve for x
x=3
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20\left(3x+2\right)=11\left(7x-1\right)
Variable x cannot be equal to \frac{1}{7} since division by zero is not defined. Multiply both sides of the equation by 20\left(7x-1\right), the least common multiple of 7x-1,20.
60x+40=11\left(7x-1\right)
Use the distributive property to multiply 20 by 3x+2.
60x+40=77x-11
Use the distributive property to multiply 11 by 7x-1.
60x+40-77x=-11
Subtract 77x from both sides.
-17x+40=-11
Combine 60x and -77x to get -17x.
-17x=-11-40
Subtract 40 from both sides.
-17x=-51
Subtract 40 from -11 to get -51.
x=\frac{-51}{-17}
Divide both sides by -17.
x=3
Divide -51 by -17 to get 3.
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