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2x+3\left(x-4\right)=-6
Multiply both sides of the equation by 6, the least common multiple of 3,2.
2x+3x-12=-6
Use the distributive property to multiply 3 by x-4.
5x-12=-6
Combine 2x and 3x to get 5x.
5x=-6+12
Add 12 to both sides.
5x=6
Add -6 and 12 to get 6.
x=\frac{6}{5}
Divide both sides by 5.