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\left(x-3\right)\times 16=-34x\times 4
Variable x cannot be equal to any of the values 0,3 since division by zero is not defined. Multiply both sides of the equation by 34x\left(x-3\right), the least common multiple of 34x,3-x.
16x-48=-34x\times 4
Use the distributive property to multiply x-3 by 16.
16x-48=-136x
Multiply -34 and 4 to get -136.
16x-48+136x=0
Add 136x to both sides.
152x-48=0
Combine 16x and 136x to get 152x.
152x=48
Add 48 to both sides. Anything plus zero gives itself.
x=\frac{48}{152}
Divide both sides by 152.
x=\frac{6}{19}
Reduce the fraction \frac{48}{152} to lowest terms by extracting and canceling out 8.