Solve for x
x=\frac{2}{7}\approx 0.285714286
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4\left(2x-7\right)=9\left(-3x-2\right)
Multiply both sides of the equation by 12, the least common multiple of 3,4.
8x-28=9\left(-3x-2\right)
Use the distributive property to multiply 4 by 2x-7.
8x-28=-27x-18
Use the distributive property to multiply 9 by -3x-2.
8x-28+27x=-18
Add 27x to both sides.
35x-28=-18
Combine 8x and 27x to get 35x.
35x=-18+28
Add 28 to both sides.
35x=10
Add -18 and 28 to get 10.
x=\frac{10}{35}
Divide both sides by 35.
x=\frac{2}{7}
Reduce the fraction \frac{10}{35} to lowest terms by extracting and canceling out 5.
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