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x-4=5x+10
Multiply both sides of the equation by 5.
x-4-5x=10
Subtract 5x from both sides.
-4x-4=10
Combine x and -5x to get -4x.
-4x=10+4
Add 4 to both sides.
-4x=14
Add 10 and 4 to get 14.
x=\frac{14}{-4}
Divide both sides by -4.
x=-\frac{7}{2}
Reduce the fraction \frac{14}{-4} to lowest terms by extracting and canceling out 2.