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15\left(-3\right)x+10=-6
Multiply both sides of the equation by 30, the least common multiple of 2,3,5.
-45x+10=-6
Multiply 15 and -3 to get -45.
-45x=-6-10
Subtract 10 from both sides.
-45x=-16
Subtract 10 from -6 to get -16.
x=\frac{-16}{-45}
Divide both sides by -45.
x=\frac{16}{45}
Fraction \frac{-16}{-45} can be simplified to \frac{16}{45} by removing the negative sign from both the numerator and the denominator.