Solve for x
x = -\frac{11}{2} = -5\frac{1}{2} = -5.5
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15x-45+6\left(2x+2\right)-2x+2=4\left(9x+2\right)-3x+5
Use the distributive property to multiply 5 by 3x-9.
15x-45+12x+12-2x+2=4\left(9x+2\right)-3x+5
Use the distributive property to multiply 6 by 2x+2.
27x-45+12-2x+2=4\left(9x+2\right)-3x+5
Combine 15x and 12x to get 27x.
27x-33-2x+2=4\left(9x+2\right)-3x+5
Add -45 and 12 to get -33.
25x-33+2=4\left(9x+2\right)-3x+5
Combine 27x and -2x to get 25x.
25x-31=4\left(9x+2\right)-3x+5
Add -33 and 2 to get -31.
25x-31=36x+8-3x+5
Use the distributive property to multiply 4 by 9x+2.
25x-31=33x+8+5
Combine 36x and -3x to get 33x.
25x-31=33x+13
Add 8 and 5 to get 13.
25x-31-33x=13
Subtract 33x from both sides.
-8x-31=13
Combine 25x and -33x to get -8x.
-8x=13+31
Add 31 to both sides.
-8x=44
Add 13 and 31 to get 44.
x=\frac{44}{-8}
Divide both sides by -8.
x=-\frac{11}{2}
Reduce the fraction \frac{44}{-8} to lowest terms by extracting and canceling out 4.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
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}