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2\left(5x+2\right)=3\left(3x+8\right)
Multiply both sides of the equation by 12, the least common multiple of 6,4.
10x+4=3\left(3x+8\right)
Use the distributive property to multiply 2 by 5x+2.
10x+4=9x+24
Use the distributive property to multiply 3 by 3x+8.
10x+4-9x=24
Subtract 9x from both sides.
x+4=24
Combine 10x and -9x to get x.
x=24-4
Subtract 4 from both sides.
x=20
Subtract 4 from 24 to get 20.