Solve for x
x = -\frac{38}{13} = -2\frac{12}{13} \approx -2.923076923
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4\left(4x+9\right)=3x-2
Multiply both sides of the equation by 8, the least common multiple of 2,8.
16x+36=3x-2
Use the distributive property to multiply 4 by 4x+9.
16x+36-3x=-2
Subtract 3x from both sides.
13x+36=-2
Combine 16x and -3x to get 13x.
13x=-2-36
Subtract 36 from both sides.
13x=-38
Subtract 36 from -2 to get -38.
x=\frac{-38}{13}
Divide both sides by 13.
x=-\frac{38}{13}
Fraction \frac{-38}{13} can be rewritten as -\frac{38}{13} by extracting the negative sign.
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