Solve for x
x=-1
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4-3x-\left(-2\right)+5x=4-\left(x+1\right)
To find the opposite of 3x-2, find the opposite of each term.
4-3x+2+5x=4-\left(x+1\right)
The opposite of -2 is 2.
6-3x+5x=4-\left(x+1\right)
Add 4 and 2 to get 6.
6+2x=4-\left(x+1\right)
Combine -3x and 5x to get 2x.
6+2x=4-x-1
To find the opposite of x+1, find the opposite of each term.
6+2x=3-x
Subtract 1 from 4 to get 3.
6+2x+x=3
Add x to both sides.
6+3x=3
Combine 2x and x to get 3x.
3x=3-6
Subtract 6 from both sides.
3x=-3
Subtract 6 from 3 to get -3.
x=\frac{-3}{3}
Divide both sides by 3.
x=-1
Divide -3 by 3 to get -1.
Examples
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y = 3x + 4
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\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
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