Solve for x
x=-21
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6\left(x+1\right)-5\left(x-3\right)=0
Multiply both sides of the equation by 30, the least common multiple of 5,6.
6x+6-5\left(x-3\right)=0
Use the distributive property to multiply 6 by x+1.
6x+6-5x+15=0
Use the distributive property to multiply -5 by x-3.
x+6+15=0
Combine 6x and -5x to get x.
x+21=0
Add 6 and 15 to get 21.
x=-21
Subtract 21 from both sides. Anything subtracted from zero gives its negation.
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