Solve for x
x=\frac{21}{53}\approx 0.396226415
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4\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 4\left(5x-1\right), the least common multiple of 5x-1,4.
12x+8=13\left(5x-1\right)
Use the distributive property to multiply 4 by 3x+2.
12x+8=65x-13
Use the distributive property to multiply 13 by 5x-1.
12x+8-65x=-13
Subtract 65x from both sides.
-53x+8=-13
Combine 12x and -65x to get -53x.
-53x=-13-8
Subtract 8 from both sides.
-53x=-21
Subtract 8 from -13 to get -21.
x=\frac{-21}{-53}
Divide both sides by -53.
x=\frac{21}{53}
Fraction \frac{-21}{-53} can be simplified to \frac{21}{53} by removing the negative sign from both the numerator and the denominator.
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