Solve for x
x=\frac{23}{51}\approx 0.450980392
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3\left(7-9x\right)+2\left(1-3x\right)=12-6\left(2-3x\right)
Multiply both sides of the equation by 6, the least common multiple of 2,3.
21-27x+2\left(1-3x\right)=12-6\left(2-3x\right)
Use the distributive property to multiply 3 by 7-9x.
21-27x+2-6x=12-6\left(2-3x\right)
Use the distributive property to multiply 2 by 1-3x.
23-27x-6x=12-6\left(2-3x\right)
Add 21 and 2 to get 23.
23-33x=12-6\left(2-3x\right)
Combine -27x and -6x to get -33x.
23-33x=12-12+18x
Use the distributive property to multiply -6 by 2-3x.
23-33x=18x
Subtract 12 from 12 to get 0.
23-33x-18x=0
Subtract 18x from both sides.
23-51x=0
Combine -33x and -18x to get -51x.
-51x=-23
Subtract 23 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-23}{-51}
Divide both sides by -51.
x=\frac{23}{51}
Fraction \frac{-23}{-51} can be simplified to \frac{23}{51} by removing the negative sign from both the numerator and the denominator.
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Limits
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