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3\left(x-1\right)+2\left(2x-3\right)=36
Multiply both sides of the equation by 12, the least common multiple of 4,6.
3x-3+2\left(2x-3\right)=36
Use the distributive property to multiply 3 by x-1.
3x-3+4x-6=36
Use the distributive property to multiply 2 by 2x-3.
7x-3-6=36
Combine 3x and 4x to get 7x.
7x-9=36
Subtract 6 from -3 to get -9.
7x=36+9
Add 9 to both sides.
7x=45
Add 36 and 9 to get 45.
x=\frac{45}{7}
Divide both sides by 7.