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