9, minus, 2, left parenthesis, x, plus, 4, right parenthesis, minus, 10, left parenthesis, 25, minus, x, plus, 4, right parenthesis, equals, 5, minus, 3, x, minus, 4, left parenthesis, x, plus, 1, right parenthesis
Solve for x
x = \frac{58}{3} = 19\frac{1}{3} \approx 19.333333333
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9-2x-8-10\left(25-x+4\right)=5-3x-4\left(x+1\right)
Use the distributive property to multiply -2 by x+4.
1-2x-10\left(25-x+4\right)=5-3x-4\left(x+1\right)
Subtract 8 from 9 to get 1.
1-2x-10\left(29-x\right)=5-3x-4\left(x+1\right)
Add 25 and 4 to get 29.
1-2x-290+10x=5-3x-4\left(x+1\right)
Use the distributive property to multiply -10 by 29-x.
-289-2x+10x=5-3x-4\left(x+1\right)
Subtract 290 from 1 to get -289.
-289+8x=5-3x-4\left(x+1\right)
Combine -2x and 10x to get 8x.
-289+8x=5-3x-4x-4
Use the distributive property to multiply -4 by x+1.
-289+8x=5-7x-4
Combine -3x and -4x to get -7x.
-289+8x=1-7x
Subtract 4 from 5 to get 1.
-289+8x+7x=1
Add 7x to both sides.
-289+15x=1
Combine 8x and 7x to get 15x.
15x=1+289
Add 289 to both sides.
15x=290
Add 1 and 289 to get 290.
x=\frac{290}{15}
Divide both sides by 15.
x=\frac{58}{3}
Reduce the fraction \frac{290}{15} to lowest terms by extracting and canceling out 5.
Examples
Quadratic equation
{ 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}