Solve for x
x=5
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6-3x+4=5-\left(3x-10\right)-x
Use the distributive property to multiply 3 by 2-x.
10-3x=5-\left(3x-10\right)-x
Add 6 and 4 to get 10.
10-3x=5-3x-\left(-10\right)-x
To find the opposite of 3x-10, find the opposite of each term.
10-3x=5-3x+10-x
The opposite of -10 is 10.
10-3x=15-3x-x
Add 5 and 10 to get 15.
10-3x=15-4x
Combine -3x and -x to get -4x.
10-3x+4x=15
Add 4x to both sides.
10+x=15
Combine -3x and 4x to get x.
x=15-10
Subtract 10 from both sides.
x=5
Subtract 10 from 15 to get 5.
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
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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}