Solve for x
x=6
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5x-10+x-\left(4x-7\right)=9
Use the distributive property to multiply 5 by x-2.
6x-10-\left(4x-7\right)=9
Combine 5x and x to get 6x.
6x-10-4x-\left(-7\right)=9
To find the opposite of 4x-7, find the opposite of each term.
6x-10-4x+7=9
The opposite of -7 is 7.
2x-10+7=9
Combine 6x and -4x to get 2x.
2x-3=9
Add -10 and 7 to get -3.
2x=9+3
Add 3 to both sides.
2x=12
Add 9 and 3 to get 12.
x=\frac{12}{2}
Divide both sides by 2.
x=6
Divide 12 by 2 to get 6.
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}