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5x-7=12x-15
Multiply both sides of the equation by 3.
5x-7-12x=-15
Subtract 12x from both sides.
-7x-7=-15
Combine 5x and -12x to get -7x.
-7x=-15+7
Add 7 to both sides.
-7x=-8
Add -15 and 7 to get -8.
x=\frac{-8}{-7}
Divide both sides by -7.
x=\frac{8}{7}
Fraction \frac{-8}{-7} can be simplified to \frac{8}{7} by removing the negative sign from both the numerator and the denominator.