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x+3\left(x-2\right)=24
Multiply both sides of the equation by 6, the least common multiple of 6,2.
x+3x-6=24
Use the distributive property to multiply 3 by x-2.
4x-6=24
Combine x and 3x to get 4x.
4x=24+6
Add 6 to both sides.
4x=30
Add 24 and 6 to get 30.
x=\frac{30}{4}
Divide both sides by 4.
x=\frac{15}{2}
Reduce the fraction \frac{30}{4} to lowest terms by extracting and canceling out 2.