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3\left(3x+4\right)=2\left(4x-6\right)
Multiply both sides of the equation by 12, the least common multiple of 4,6.
9x+12=2\left(4x-6\right)
Use the distributive property to multiply 3 by 3x+4.
9x+12=8x-12
Use the distributive property to multiply 2 by 4x-6.
9x+12-8x=-12
Subtract 8x from both sides.
x+12=-12
Combine 9x and -8x to get x.
x=-12-12
Subtract 12 from both sides.
x=-24
Subtract 12 from -12 to get -24.