Solve for x
x = \frac{20}{13} = 1\frac{7}{13} \approx 1.538461538
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4\left(17+2x\right)=-3\left(-16-7x\right)
Multiply both sides of the equation by 12, the least common multiple of 3,-4.
68+8x=-3\left(-16-7x\right)
Use the distributive property to multiply 4 by 17+2x.
68+8x=48+21x
Use the distributive property to multiply -3 by -16-7x.
68+8x-21x=48
Subtract 21x from both sides.
68-13x=48
Combine 8x and -21x to get -13x.
-13x=48-68
Subtract 68 from both sides.
-13x=-20
Subtract 68 from 48 to get -20.
x=\frac{-20}{-13}
Divide both sides by -13.
x=\frac{20}{13}
Fraction \frac{-20}{-13} can be simplified to \frac{20}{13} by removing the negative sign from both the numerator and the denominator.
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