Solve for x
x = \frac{17}{7} = 2\frac{3}{7} \approx 2.428571429
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5\left(3x-1\right)=4\left(2x+3\right)
Multiply both sides of the equation by 20, the least common multiple of 4,5.
15x-5=4\left(2x+3\right)
Use the distributive property to multiply 5 by 3x-1.
15x-5=8x+12
Use the distributive property to multiply 4 by 2x+3.
15x-5-8x=12
Subtract 8x from both sides.
7x-5=12
Combine 15x and -8x to get 7x.
7x=12+5
Add 5 to both sides.
7x=17
Add 12 and 5 to get 17.
x=\frac{17}{7}
Divide both sides by 7.
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