Solve for x
x=0
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3x-\left(-2\right)-\left(-5x\right)=x+2
To find the opposite of -2-5x, find the opposite of each term.
3x+2-\left(-5x\right)=x+2
The opposite of -2 is 2.
3x+2+5x=x+2
The opposite of -5x is 5x.
8x+2=x+2
Combine 3x and 5x to get 8x.
8x+2-x=2
Subtract x from both sides.
7x+2=2
Combine 8x and -x to get 7x.
7x=2-2
Subtract 2 from both sides.
7x=0
Subtract 2 from 2 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 7 is not equal to 0, x must be equal to 0.
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}