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-45+15\times 5x=12\left(-2\right)x-20
Multiply both sides of the equation by 60, the least common multiple of 4,5,3.
-45+75x=12\left(-2\right)x-20
Multiply 15 and 5 to get 75.
-45+75x=-24x-20
Multiply 12 and -2 to get -24.
-45+75x+24x=-20
Add 24x to both sides.
-45+99x=-20
Combine 75x and 24x to get 99x.
99x=-20+45
Add 45 to both sides.
99x=25
Add -20 and 45 to get 25.
x=\frac{25}{99}
Divide both sides by 99.