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3\left(x+1\right)+2\left(x+1\right)=24
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3x+3+2\left(x+1\right)=24
Use the distributive property to multiply 3 by x+1.
3x+3+2x+2=24
Use the distributive property to multiply 2 by x+1.
5x+3+2=24
Combine 3x and 2x to get 5x.
5x+5=24
Add 3 and 2 to get 5.
5x=24-5
Subtract 5 from both sides.
5x=19
Subtract 5 from 24 to get 19.
x=\frac{19}{5}
Divide both sides by 5.