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4\left(2x+3\right)=3\left(x-1\right)
Multiply both sides of the equation by 12, the least common multiple of 3,4.
8x+12=3\left(x-1\right)
Use the distributive property to multiply 4 by 2x+3.
8x+12=3x-3
Use the distributive property to multiply 3 by x-1.
8x+12-3x=-3
Subtract 3x from both sides.
5x+12=-3
Combine 8x and -3x to get 5x.
5x=-3-12
Subtract 12 from both sides.
5x=-15
Subtract 12 from -3 to get -15.
x=\frac{-15}{5}
Divide both sides by 5.
x=-3
Divide -15 by 5 to get -3.