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5\left(x-4\right)+3\times 4x=165
Multiply both sides of the equation by 15, the least common multiple of 3,5.
5x-20+3\times 4x=165
Use the distributive property to multiply 5 by x-4.
5x-20+12x=165
Multiply 3 and 4 to get 12.
17x-20=165
Combine 5x and 12x to get 17x.
17x=165+20
Add 20 to both sides.
17x=185
Add 165 and 20 to get 185.
x=\frac{185}{17}
Divide both sides by 17.