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4\left(x-3\right)=16
Multiply both sides of the equation by 28, the least common multiple of 7,28.
4x-12=16
Use the distributive property to multiply 4 by x-3.
4x=16+12
Add 12 to both sides.
4x=28
Add 16 and 12 to get 28.
x=\frac{28}{4}
Divide both sides by 4.
x=7
Divide 28 by 4 to get 7.