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3x+2\left(x+2\right)=24
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3x+2x+4=24
Use the distributive property to multiply 2 by x+2.
5x+4=24
Combine 3x and 2x to get 5x.
5x=24-4
Subtract 4 from both sides.
5x=20
Subtract 4 from 24 to get 20.
x=\frac{20}{5}
Divide both sides by 5.
x=4
Divide 20 by 5 to get 4.