Solve for x
x=-7
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16+7x=4\left(3x+\frac{1}{4}\right)-7\left(x-\frac{1}{7}\right)
Multiply both sides of the equation by 28, the least common multiple of 7,4.
16+7x=12x+4\times \frac{1}{4}-7\left(x-\frac{1}{7}\right)
Use the distributive property to multiply 4 by 3x+\frac{1}{4}.
16+7x=12x+1-7\left(x-\frac{1}{7}\right)
Cancel out 4 and 4.
16+7x=12x+1-7x-7\left(-\frac{1}{7}\right)
Use the distributive property to multiply -7 by x-\frac{1}{7}.
16+7x=12x+1-7x+1
Multiply -7 times -\frac{1}{7}.
16+7x=5x+1+1
Combine 12x and -7x to get 5x.
16+7x=5x+2
Add 1 and 1 to get 2.
16+7x-5x=2
Subtract 5x from both sides.
16+2x=2
Combine 7x and -5x to get 2x.
2x=2-16
Subtract 16 from both sides.
2x=-14
Subtract 16 from 2 to get -14.
x=\frac{-14}{2}
Divide both sides by 2.
x=-7
Divide -14 by 2 to get -7.
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