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3\left(x+1\right)=4x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 6x, the least common multiple of 2x,3.
3x+3=4x
Use the distributive property to multiply 3 by x+1.
3x+3-4x=0
Subtract 4x from both sides.
-x+3=0
Combine 3x and -4x to get -x.
-x=-3
Subtract 3 from both sides. Anything subtracted from zero gives its negation.
x=3
Multiply both sides by -1.