Solve for x
x = -\frac{309}{92} = -3\frac{33}{92} \approx -3.358695652
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15-300-90x+5\times 2x=3\left(4x+3\right)+15
Multiply both sides of the equation by 15, the least common multiple of 3,5.
-285-90x+5\times 2x=3\left(4x+3\right)+15
Subtract 300 from 15 to get -285.
-285-90x+10x=3\left(4x+3\right)+15
Multiply 5 and 2 to get 10.
-285-80x=3\left(4x+3\right)+15
Combine -90x and 10x to get -80x.
-285-80x=12x+9+15
Use the distributive property to multiply 3 by 4x+3.
-285-80x=12x+24
Add 9 and 15 to get 24.
-285-80x-12x=24
Subtract 12x from both sides.
-285-92x=24
Combine -80x and -12x to get -92x.
-92x=24+285
Add 285 to both sides.
-92x=309
Add 24 and 285 to get 309.
x=\frac{309}{-92}
Divide both sides by -92.
x=-\frac{309}{92}
Fraction \frac{309}{-92} can be rewritten as -\frac{309}{92} by extracting the negative sign.
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