Solve for x
x = -\frac{19}{5} = -3\frac{4}{5} = -3.8
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\left(4x-3\right)\times 2=\left(x+9\right)\left(-7\right)
Variable x cannot be equal to any of the values -9,\frac{3}{4} since division by zero is not defined. Multiply both sides of the equation by \left(4x-3\right)\left(x+9\right), the least common multiple of x+9,4x-3.
8x-6=\left(x+9\right)\left(-7\right)
Use the distributive property to multiply 4x-3 by 2.
8x-6=-7x-63
Use the distributive property to multiply x+9 by -7.
8x-6+7x=-63
Add 7x to both sides.
15x-6=-63
Combine 8x and 7x to get 15x.
15x=-63+6
Add 6 to both sides.
15x=-57
Add -63 and 6 to get -57.
x=\frac{-57}{15}
Divide both sides by 15.
x=-\frac{19}{5}
Reduce the fraction \frac{-57}{15} to lowest terms by extracting and canceling out 3.
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