Solve for x
x=3
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3\left(x-2\right)+2\left(x-4\right)=1
Multiply both sides of the equation by 6, the least common multiple of 2,3,6.
3x-6+2\left(x-4\right)=1
Use the distributive property to multiply 3 by x-2.
3x-6+2x-8=1
Use the distributive property to multiply 2 by x-4.
5x-6-8=1
Combine 3x and 2x to get 5x.
5x-14=1
Subtract 8 from -6 to get -14.
5x=1+14
Add 14 to both sides.
5x=15
Add 1 and 14 to get 15.
x=\frac{15}{5}
Divide both sides by 5.
x=3
Divide 15 by 5 to get 3.
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