Solve for x
x = -\frac{9}{8} = -1\frac{1}{8} = -1.125
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3\times 3\left(x-2\right)=15x+5\times 2x
Multiply both sides of the equation by 15, the least common multiple of 5,3.
9\left(x-2\right)=15x+5\times 2x
Multiply 3 and 3 to get 9.
9x-18=15x+5\times 2x
Use the distributive property to multiply 9 by x-2.
9x-18=15x+10x
Multiply 5 and 2 to get 10.
9x-18=25x
Combine 15x and 10x to get 25x.
9x-18-25x=0
Subtract 25x from both sides.
-16x-18=0
Combine 9x and -25x to get -16x.
-16x=18
Add 18 to both sides. Anything plus zero gives itself.
x=\frac{18}{-16}
Divide both sides by -16.
x=-\frac{9}{8}
Reduce the fraction \frac{18}{-16} to lowest terms by extracting and canceling out 2.
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