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4x+3\left(2x+8\right)=24
Multiply both sides of the equation by 12, the least common multiple of 3,4.
4x+6x+24=24
Use the distributive property to multiply 3 by 2x+8.
10x+24=24
Combine 4x and 6x to get 10x.
10x=24-24
Subtract 24 from both sides.
10x=0
Subtract 24 from 24 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 10 is not equal to 0, x must be equal to 0.