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x-5+9x-12=4x
Multiply both sides of the equation by 3.
10x-5-12=4x
Combine x and 9x to get 10x.
10x-17=4x
Subtract 12 from -5 to get -17.
10x-17-4x=0
Subtract 4x from both sides.
6x-17=0
Combine 10x and -4x to get 6x.
6x=17
Add 17 to both sides. Anything plus zero gives itself.
x=\frac{17}{6}
Divide both sides by 6.