Solve for x
x=-\frac{1}{2}=-0.5
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8\left(4x-3\right)=5\left(2x-7\right)
Multiply both sides of the equation by 40, the least common multiple of 5,8.
32x-24=5\left(2x-7\right)
Use the distributive property to multiply 8 by 4x-3.
32x-24=10x-35
Use the distributive property to multiply 5 by 2x-7.
32x-24-10x=-35
Subtract 10x from both sides.
22x-24=-35
Combine 32x and -10x to get 22x.
22x=-35+24
Add 24 to both sides.
22x=-11
Add -35 and 24 to get -11.
x=\frac{-11}{22}
Divide both sides by 22.
x=-\frac{1}{2}
Reduce the fraction \frac{-11}{22} to lowest terms by extracting and canceling out 11.
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