Solve for x
x=-\frac{19}{69}\approx -0.275362319
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6\left(2x+3\right)-2\left(3x-2\right)=-60x+3\left(1-x\right)
Multiply both sides of the equation by 30, the least common multiple of 5,15,10.
12x+18-2\left(3x-2\right)=-60x+3\left(1-x\right)
Use the distributive property to multiply 6 by 2x+3.
12x+18-6x+4=-60x+3\left(1-x\right)
Use the distributive property to multiply -2 by 3x-2.
6x+18+4=-60x+3\left(1-x\right)
Combine 12x and -6x to get 6x.
6x+22=-60x+3\left(1-x\right)
Add 18 and 4 to get 22.
6x+22=-60x+3-3x
Use the distributive property to multiply 3 by 1-x.
6x+22=-63x+3
Combine -60x and -3x to get -63x.
6x+22+63x=3
Add 63x to both sides.
69x+22=3
Combine 6x and 63x to get 69x.
69x=3-22
Subtract 22 from both sides.
69x=-19
Subtract 22 from 3 to get -19.
x=\frac{-19}{69}
Divide both sides by 69.
x=-\frac{19}{69}
Fraction \frac{-19}{69} can be rewritten as -\frac{19}{69} by extracting the negative sign.
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y = 3x + 4
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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
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Limits
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