Solve for x
x = \frac{4}{3} = 1\frac{1}{3} \approx 1.333333333
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5\left(3x-1\right)=3\left(3x+1\right)
Multiply both sides of the equation by 15, the least common multiple of 3,5.
15x-5=3\left(3x+1\right)
Use the distributive property to multiply 5 by 3x-1.
15x-5=9x+3
Use the distributive property to multiply 3 by 3x+1.
15x-5-9x=3
Subtract 9x from both sides.
6x-5=3
Combine 15x and -9x to get 6x.
6x=3+5
Add 5 to both sides.
6x=8
Add 3 and 5 to get 8.
x=\frac{8}{6}
Divide both sides by 6.
x=\frac{4}{3}
Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.
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