Solve for x
x=9
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3\left(x-1\right)+2\left(x-3\right)=36
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3x-3+2\left(x-3\right)=36
Use the distributive property to multiply 3 by x-1.
3x-3+2x-6=36
Use the distributive property to multiply 2 by x-3.
5x-3-6=36
Combine 3x and 2x to get 5x.
5x-9=36
Subtract 6 from -3 to get -9.
5x=36+9
Add 9 to both sides.
5x=45
Add 36 and 9 to get 45.
x=\frac{45}{5}
Divide both sides by 5.
x=9
Divide 45 by 5 to get 9.
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