Solve for x
x=-\frac{5}{24}\approx -0.208333333
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3\left(2x-3\right)+2\left(3x+2\right)=36x
Multiply both sides of the equation by 12, the least common multiple of 4,6.
6x-9+2\left(3x+2\right)=36x
Use the distributive property to multiply 3 by 2x-3.
6x-9+6x+4=36x
Use the distributive property to multiply 2 by 3x+2.
12x-9+4=36x
Combine 6x and 6x to get 12x.
12x-5=36x
Add -9 and 4 to get -5.
12x-5-36x=0
Subtract 36x from both sides.
-24x-5=0
Combine 12x and -36x to get -24x.
-24x=5
Add 5 to both sides. Anything plus zero gives itself.
x=\frac{5}{-24}
Divide both sides by -24.
x=-\frac{5}{24}
Fraction \frac{5}{-24} can be rewritten as -\frac{5}{24} by extracting the negative sign.
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Limits
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