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4\left(x-2\right)=3\left(x+6\right)
Multiply both sides of the equation by 12, the least common multiple of 3,4.
4x-8=3\left(x+6\right)
Use the distributive property to multiply 4 by x-2.
4x-8=3x+18
Use the distributive property to multiply 3 by x+6.
4x-8-3x=18
Subtract 3x from both sides.
x-8=18
Combine 4x and -3x to get x.
x=18+8
Add 8 to both sides.
x=26
Add 18 and 8 to get 26.