Solve for x
x = \frac{55}{2} = 27\frac{1}{2} = 27.5
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21\left(3x+2\right)=13\left(5x-1\right)
Variable x cannot be equal to \frac{1}{5} since division by zero is not defined. Multiply both sides of the equation by 21\left(5x-1\right), the least common multiple of 5x-1,21.
63x+42=13\left(5x-1\right)
Use the distributive property to multiply 21 by 3x+2.
63x+42=65x-13
Use the distributive property to multiply 13 by 5x-1.
63x+42-65x=-13
Subtract 65x from both sides.
-2x+42=-13
Combine 63x and -65x to get -2x.
-2x=-13-42
Subtract 42 from both sides.
-2x=-55
Subtract 42 from -13 to get -55.
x=\frac{-55}{-2}
Divide both sides by -2.
x=\frac{55}{2}
Fraction \frac{-55}{-2} can be simplified to \frac{55}{2} by removing the negative sign from both the numerator and the denominator.
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