Solve for x
x = \frac{13}{5} = 2\frac{3}{5} = 2.6
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3\left(x-1\right)+2\left(x-2\right)=6
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3x-3+2\left(x-2\right)=6
Use the distributive property to multiply 3 by x-1.
3x-3+2x-4=6
Use the distributive property to multiply 2 by x-2.
5x-3-4=6
Combine 3x and 2x to get 5x.
5x-7=6
Subtract 4 from -3 to get -7.
5x=6+7
Add 7 to both sides.
5x=13
Add 6 and 7 to get 13.
x=\frac{13}{5}
Divide both sides by 5.
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Limits
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