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4\left(2x+1\right)=3\left(3x+1\right)
Multiply both sides of the equation by 12, the least common multiple of 3,4.
8x+4=3\left(3x+1\right)
Use the distributive property to multiply 4 by 2x+1.
8x+4=9x+3
Use the distributive property to multiply 3 by 3x+1.
8x+4-9x=3
Subtract 9x from both sides.
-x+4=3
Combine 8x and -9x to get -x.
-x=3-4
Subtract 4 from both sides.
-x=-1
Subtract 4 from 3 to get -1.
x=1
Multiply both sides by -1.