Solve for x
x = \frac{43}{3} = 14\frac{1}{3} \approx 14.333333333
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11\left(x-6\right)-5\left(4x+5\right)=-220
Multiply both sides of the equation by 55, the least common multiple of 5,11.
11x-66-5\left(4x+5\right)=-220
Use the distributive property to multiply 11 by x-6.
11x-66-20x-25=-220
Use the distributive property to multiply -5 by 4x+5.
-9x-66-25=-220
Combine 11x and -20x to get -9x.
-9x-91=-220
Subtract 25 from -66 to get -91.
-9x=-220+91
Add 91 to both sides.
-9x=-129
Add -220 and 91 to get -129.
x=\frac{-129}{-9}
Divide both sides by -9.
x=\frac{43}{3}
Reduce the fraction \frac{-129}{-9} to lowest terms by extracting and canceling out -3.
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
\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}