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4\left(x-3\right)=3x-7
Variable x cannot be equal to \frac{7}{3} since division by zero is not defined. Multiply both sides of the equation by 4\left(3x-7\right), the least common multiple of 3x-7,4.
4x-12=3x-7
Use the distributive property to multiply 4 by x-3.
4x-12-3x=-7
Subtract 3x from both sides.
x-12=-7
Combine 4x and -3x to get x.
x=-7+12
Add 12 to both sides.
x=5
Add -7 and 12 to get 5.