Solve for x
x=2
Graph
Share
Copied to clipboard
68+16x-\left(28-6x\right)-36-\left(84-18x\right)=0
Multiply both sides of the equation by 4.
68+16x-28-\left(-6x\right)-36-\left(84-18x\right)=0
To find the opposite of 28-6x, find the opposite of each term.
68+16x-28+6x-36-\left(84-18x\right)=0
The opposite of -6x is 6x.
40+16x+6x-36-\left(84-18x\right)=0
Subtract 28 from 68 to get 40.
40+22x-36-\left(84-18x\right)=0
Combine 16x and 6x to get 22x.
4+22x-\left(84-18x\right)=0
Subtract 36 from 40 to get 4.
4+22x-84-\left(-18x\right)=0
To find the opposite of 84-18x, find the opposite of each term.
4+22x-84+18x=0
The opposite of -18x is 18x.
-80+22x+18x=0
Subtract 84 from 4 to get -80.
-80+40x=0
Combine 22x and 18x to get 40x.
40x=80
Add 80 to both sides. Anything plus zero gives itself.
x=\frac{80}{40}
Divide both sides by 40.
x=2
Divide 80 by 40 to get 2.
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}