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5\left(-2\right)x+5\times 2x=-18-15x
Multiply both sides of the equation by 15, the least common multiple of 3,5.
-10x+5\times 2x=-18-15x
Multiply 5 and -2 to get -10.
-10x+10x=-18-15x
Multiply 5 and 2 to get 10.
0=-18-15x
Combine -10x and 10x to get 0.
-18-15x=0
Swap sides so that all variable terms are on the left hand side.
-15x=18
Add 18 to both sides. Anything plus zero gives itself.
x=\frac{18}{-15}
Divide both sides by -15.
x=-\frac{6}{5}
Reduce the fraction \frac{18}{-15} to lowest terms by extracting and canceling out 3.