Solve for x
x=2
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3x+3\left(x-5\right)=x-5
Variable x cannot be equal to 5 since division by zero is not defined. Multiply both sides of the equation by 3\left(x-5\right), the least common multiple of x-5,3.
3x+3x-15=x-5
Use the distributive property to multiply 3 by x-5.
6x-15=x-5
Combine 3x and 3x to get 6x.
6x-15-x=-5
Subtract x from both sides.
5x-15=-5
Combine 6x and -x to get 5x.
5x=-5+15
Add 15 to both sides.
5x=10
Add -5 and 15 to get 10.
x=\frac{10}{5}
Divide both sides by 5.
x=2
Divide 10 by 5 to get 2.
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