Solve for x
x=7
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6\left(x-2\right)=5\left(x-1\right)
Multiply both sides of the equation by 30, the least common multiple of 5,6.
6x-12=5\left(x-1\right)
Use the distributive property to multiply 6 by x-2.
6x-12=5x-5
Use the distributive property to multiply 5 by x-1.
6x-12-5x=-5
Subtract 5x from both sides.
x-12=-5
Combine 6x and -5x to get x.
x=-5+12
Add 12 to both sides.
x=7
Add -5 and 12 to get 7.
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