Solve for x
x=-\frac{21}{37}\approx -0.567567568
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2\left(3+x\right)+9\left(7-3x\right)=6\left(15+2x\right)
Multiply both sides of the equation by 18, the least common multiple of 9,2,3.
6+2x+9\left(7-3x\right)=6\left(15+2x\right)
Use the distributive property to multiply 2 by 3+x.
6+2x+63-27x=6\left(15+2x\right)
Use the distributive property to multiply 9 by 7-3x.
69+2x-27x=6\left(15+2x\right)
Add 6 and 63 to get 69.
69-25x=6\left(15+2x\right)
Combine 2x and -27x to get -25x.
69-25x=90+12x
Use the distributive property to multiply 6 by 15+2x.
69-25x-12x=90
Subtract 12x from both sides.
69-37x=90
Combine -25x and -12x to get -37x.
-37x=90-69
Subtract 69 from both sides.
-37x=21
Subtract 69 from 90 to get 21.
x=\frac{21}{-37}
Divide both sides by -37.
x=-\frac{21}{37}
Fraction \frac{21}{-37} can be rewritten as -\frac{21}{37} by extracting the negative sign.
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