Solve for x
x=5
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11\times 12=6\left(5x-3\right)
Variable x cannot be equal to \frac{3}{5} since division by zero is not defined. Multiply both sides of the equation by 11\left(5x-3\right), the least common multiple of 5x-3,11.
132=6\left(5x-3\right)
Multiply 11 and 12 to get 132.
132=30x-18
Use the distributive property to multiply 6 by 5x-3.
30x-18=132
Swap sides so that all variable terms are on the left hand side.
30x=132+18
Add 18 to both sides.
30x=150
Add 132 and 18 to get 150.
x=\frac{150}{30}
Divide both sides by 30.
x=5
Divide 150 by 30 to get 5.
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