Solve for x
x=3
Graph
Share
Copied to clipboard
-2+20-8x-22=x-\left(4\left(4x-3\right)-5\right)
Use the distributive property to multiply 4 by 5-2x.
18-8x-22=x-\left(4\left(4x-3\right)-5\right)
Add -2 and 20 to get 18.
-4-8x=x-\left(4\left(4x-3\right)-5\right)
Subtract 22 from 18 to get -4.
-4-8x=x-\left(16x-12-5\right)
Use the distributive property to multiply 4 by 4x-3.
-4-8x=x-\left(16x-17\right)
Subtract 5 from -12 to get -17.
-4-8x=x-16x-\left(-17\right)
To find the opposite of 16x-17, find the opposite of each term.
-4-8x=x-16x+17
The opposite of -17 is 17.
-4-8x=-15x+17
Combine x and -16x to get -15x.
-4-8x+15x=17
Add 15x to both sides.
-4+7x=17
Combine -8x and 15x to get 7x.
7x=17+4
Add 4 to both sides.
7x=21
Add 17 and 4 to get 21.
x=\frac{21}{7}
Divide both sides by 7.
x=3
Divide 21 by 7 to get 3.
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}