Solve for x
x=-\frac{3}{10}=-0.3
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4\left(4x-3\right)=3\left(2x-5\right)
Variable x cannot be equal to \frac{5}{2} since division by zero is not defined. Multiply both sides of the equation by 4\left(2x-5\right), the least common multiple of 2x-5,4.
16x-12=3\left(2x-5\right)
Use the distributive property to multiply 4 by 4x-3.
16x-12=6x-15
Use the distributive property to multiply 3 by 2x-5.
16x-12-6x=-15
Subtract 6x from both sides.
10x-12=-15
Combine 16x and -6x to get 10x.
10x=-15+12
Add 12 to both sides.
10x=-3
Add -15 and 12 to get -3.
x=\frac{-3}{10}
Divide both sides by 10.
x=-\frac{3}{10}
Fraction \frac{-3}{10} can be rewritten as -\frac{3}{10} by extracting the negative sign.
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