Solve for x
x=-1
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3\times 3\left(x-2\right)+30\left(-3x+1\right)-6=-4x+3+80
Multiply both sides of the equation by 15, the least common multiple of 5,15,3.
9\left(x-2\right)+30\left(-3x+1\right)-6=-4x+3+80
Multiply 3 and 3 to get 9.
9x-18+30\left(-3x+1\right)-6=-4x+3+80
Use the distributive property to multiply 9 by x-2.
9x-18-90x+30-6=-4x+3+80
Use the distributive property to multiply 30 by -3x+1.
-81x-18+30-6=-4x+3+80
Combine 9x and -90x to get -81x.
-81x+12-6=-4x+3+80
Add -18 and 30 to get 12.
-81x+6=-4x+3+80
Subtract 6 from 12 to get 6.
-81x+6=-4x+83
Add 3 and 80 to get 83.
-81x+6+4x=83
Add 4x to both sides.
-77x+6=83
Combine -81x and 4x to get -77x.
-77x=83-6
Subtract 6 from both sides.
-77x=77
Subtract 6 from 83 to get 77.
x=\frac{77}{-77}
Divide both sides by -77.
x=-1
Divide 77 by -77 to get -1.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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}