Solve for x
x=3
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-5x+9-3x+3=-\left(4x-6\right)-3x+3
Use the distributive property to multiply -3 by x-1.
-8x+9+3=-\left(4x-6\right)-3x+3
Combine -5x and -3x to get -8x.
-8x+12=-\left(4x-6\right)-3x+3
Add 9 and 3 to get 12.
-8x+12=-4x-\left(-6\right)-3x+3
To find the opposite of 4x-6, find the opposite of each term.
-8x+12=-4x+6-3x+3
The opposite of -6 is 6.
-8x+12=-7x+6+3
Combine -4x and -3x to get -7x.
-8x+12=-7x+9
Add 6 and 3 to get 9.
-8x+12+7x=9
Add 7x to both sides.
-x+12=9
Combine -8x and 7x to get -x.
-x=9-12
Subtract 12 from both sides.
-x=-3
Subtract 12 from 9 to get -3.
x=3
Multiply both sides by -1.
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}