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4\times 5x+3x-6\times 3x-180=0
Multiply both sides of the equation by 12, the least common multiple of 3,4,2.
20x+3x-6\times 3x-180=0
Multiply 4 and 5 to get 20.
23x-6\times 3x-180=0
Combine 20x and 3x to get 23x.
23x-18x-180=0
Multiply -6 and 3 to get -18.
5x-180=0
Combine 23x and -18x to get 5x.
5x=180
Add 180 to both sides. Anything plus zero gives itself.
x=\frac{180}{5}
Divide both sides by 5.
x=36
Divide 180 by 5 to get 36.