Solve for x
x=\frac{19}{29}\approx 0.655172414
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4\left(5x+2\right)=\left(x-3\right)\left(-9\right)
Variable x cannot be equal to 3 since division by zero is not defined. Multiply both sides of the equation by 4\left(x-3\right), the least common multiple of x-3,4.
20x+8=\left(x-3\right)\left(-9\right)
Use the distributive property to multiply 4 by 5x+2.
20x+8=-9x+27
Use the distributive property to multiply x-3 by -9.
20x+8+9x=27
Add 9x to both sides.
29x+8=27
Combine 20x and 9x to get 29x.
29x=27-8
Subtract 8 from both sides.
29x=19
Subtract 8 from 27 to get 19.
x=\frac{19}{29}
Divide both sides by 29.
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