Solve for x
x=8
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2-15+9x-\left(-4+6\right)=8x+11-\left(3x-6\right)
Use the distributive property to multiply -3 by 5-3x.
-13+9x-\left(-4+6\right)=8x+11-\left(3x-6\right)
Subtract 15 from 2 to get -13.
-13+9x-2=8x+11-\left(3x-6\right)
Add -4 and 6 to get 2.
-15+9x=8x+11-\left(3x-6\right)
Subtract 2 from -13 to get -15.
-15+9x=8x+11-3x-\left(-6\right)
To find the opposite of 3x-6, find the opposite of each term.
-15+9x=8x+11-3x+6
The opposite of -6 is 6.
-15+9x=5x+11+6
Combine 8x and -3x to get 5x.
-15+9x=5x+17
Add 11 and 6 to get 17.
-15+9x-5x=17
Subtract 5x from both sides.
-15+4x=17
Combine 9x and -5x to get 4x.
4x=17+15
Add 15 to both sides.
4x=32
Add 17 and 15 to get 32.
x=\frac{32}{4}
Divide both sides by 4.
x=8
Divide 32 by 4 to get 8.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}