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5\left(2x+4\right)\leq 3\left(3x+1\right)
Multiply both sides of the equation by 15, the least common multiple of 3,5. Since 15 is positive, the inequality direction remains the same.
10x+20\leq 3\left(3x+1\right)
Use the distributive property to multiply 5 by 2x+4.
10x+20\leq 9x+3
Use the distributive property to multiply 3 by 3x+1.
10x+20-9x\leq 3
Subtract 9x from both sides.
x+20\leq 3
Combine 10x and -9x to get x.
x\leq 3-20
Subtract 20 from both sides.
x\leq -17
Subtract 20 from 3 to get -17.