Solve for x
x=6
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2x-6+3\left(x-2\right)=18
Use the distributive property to multiply 2 by x-3.
2x-6+3x-6=18
Use the distributive property to multiply 3 by x-2.
5x-6-6=18
Combine 2x and 3x to get 5x.
5x-12=18
Subtract 6 from -6 to get -12.
5x=18+12
Add 12 to both sides.
5x=30
Add 18 and 12 to get 30.
x=\frac{30}{5}
Divide both sides by 5.
x=6
Divide 30 by 5 to get 6.
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