( - 7 ( 5 - x ) - 6 ( 2 - x ) ) - 2 ( - 7 ( 2 - x ) + 4 ( 2 - x ) =
Evaluate
7\left(x-5\right)
Expand
7x-35
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-35+7x-6\left(2-x\right)-2\left(-7\left(2-x\right)+4\left(2-x\right)\right)
Use the distributive property to multiply -7 by 5-x.
-35+7x-12+6x-2\left(-7\left(2-x\right)+4\left(2-x\right)\right)
Use the distributive property to multiply -6 by 2-x.
-47+7x+6x-2\left(-7\left(2-x\right)+4\left(2-x\right)\right)
Subtract 12 from -35 to get -47.
-47+13x-2\left(-7\left(2-x\right)+4\left(2-x\right)\right)
Combine 7x and 6x to get 13x.
-47+13x-2\left(-14+7x+4\left(2-x\right)\right)
Use the distributive property to multiply -7 by 2-x.
-47+13x-2\left(-14+7x+8-4x\right)
Use the distributive property to multiply 4 by 2-x.
-47+13x-2\left(-6+7x-4x\right)
Add -14 and 8 to get -6.
-47+13x-2\left(-6+3x\right)
Combine 7x and -4x to get 3x.
-47+13x+12-6x
Use the distributive property to multiply -2 by -6+3x.
-35+13x-6x
Add -47 and 12 to get -35.
-35+7x
Combine 13x and -6x to get 7x.
-35+7x-6\left(2-x\right)-2\left(-7\left(2-x\right)+4\left(2-x\right)\right)
Use the distributive property to multiply -7 by 5-x.
-35+7x-12+6x-2\left(-7\left(2-x\right)+4\left(2-x\right)\right)
Use the distributive property to multiply -6 by 2-x.
-47+7x+6x-2\left(-7\left(2-x\right)+4\left(2-x\right)\right)
Subtract 12 from -35 to get -47.
-47+13x-2\left(-7\left(2-x\right)+4\left(2-x\right)\right)
Combine 7x and 6x to get 13x.
-47+13x-2\left(-14+7x+4\left(2-x\right)\right)
Use the distributive property to multiply -7 by 2-x.
-47+13x-2\left(-14+7x+8-4x\right)
Use the distributive property to multiply 4 by 2-x.
-47+13x-2\left(-6+7x-4x\right)
Add -14 and 8 to get -6.
-47+13x-2\left(-6+3x\right)
Combine 7x and -4x to get 3x.
-47+13x+12-6x
Use the distributive property to multiply -2 by -6+3x.
-35+13x-6x
Add -47 and 12 to get -35.
-35+7x
Combine 13x and -6x to get 7x.
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}