Solve for x
x = \frac{16}{7} = 2\frac{2}{7} \approx 2.285714286
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\left(3x-16\right)\times 8=-2x\times 16
Variable x cannot be equal to any of the values 0,\frac{16}{3} since division by zero is not defined. Multiply both sides of the equation by 2x\left(3x-16\right), the least common multiple of 2x,16-3x.
24x-128=-2x\times 16
Use the distributive property to multiply 3x-16 by 8.
24x-128=-32x
Multiply -2 and 16 to get -32.
24x-128+32x=0
Add 32x to both sides.
56x-128=0
Combine 24x and 32x to get 56x.
56x=128
Add 128 to both sides. Anything plus zero gives itself.
x=\frac{128}{56}
Divide both sides by 56.
x=\frac{16}{7}
Reduce the fraction \frac{128}{56} to lowest terms by extracting and canceling out 8.
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