Solve for x
x=\frac{1}{2}=0.5
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3\left(3x-4\right)=5\left(x-2\right)
Multiply both sides of the equation by 15, the least common multiple of 5,3.
9x-12=5\left(x-2\right)
Use the distributive property to multiply 3 by 3x-4.
9x-12=5x-10
Use the distributive property to multiply 5 by x-2.
9x-12-5x=-10
Subtract 5x from both sides.
4x-12=-10
Combine 9x and -5x to get 4x.
4x=-10+12
Add 12 to both sides.
4x=2
Add -10 and 12 to get 2.
x=\frac{2}{4}
Divide both sides by 4.
x=\frac{1}{2}
Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.
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