Solve for x
x=-\frac{30}{43}\approx -0.697674419
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8\left(x-4\right)-2\left(3x-1\right)=6\left(3x+1\right)+3\left(9x-2\right)
Multiply both sides of the equation by 24, the least common multiple of 3,12,4,8.
8x-32-2\left(3x-1\right)=6\left(3x+1\right)+3\left(9x-2\right)
Use the distributive property to multiply 8 by x-4.
8x-32-6x+2=6\left(3x+1\right)+3\left(9x-2\right)
Use the distributive property to multiply -2 by 3x-1.
2x-32+2=6\left(3x+1\right)+3\left(9x-2\right)
Combine 8x and -6x to get 2x.
2x-30=6\left(3x+1\right)+3\left(9x-2\right)
Add -32 and 2 to get -30.
2x-30=18x+6+3\left(9x-2\right)
Use the distributive property to multiply 6 by 3x+1.
2x-30=18x+6+27x-6
Use the distributive property to multiply 3 by 9x-2.
2x-30=45x+6-6
Combine 18x and 27x to get 45x.
2x-30=45x
Subtract 6 from 6 to get 0.
2x-30-45x=0
Subtract 45x from both sides.
-43x-30=0
Combine 2x and -45x to get -43x.
-43x=30
Add 30 to both sides. Anything plus zero gives itself.
x=\frac{30}{-43}
Divide both sides by -43.
x=-\frac{30}{43}
Fraction \frac{30}{-43} can be rewritten as -\frac{30}{43} by extracting the negative sign.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}