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3\times 3x+2\times 5x=456
Multiply both sides of the equation by 12, the least common multiple of 4,6.
9x+2\times 5x=456
Multiply 3 and 3 to get 9.
9x+10x=456
Multiply 2 and 5 to get 10.
19x=456
Combine 9x and 10x to get 19x.
x=\frac{456}{19}
Divide both sides by 19.
x=24
Divide 456 by 19 to get 24.