Solve for x
x = \frac{139}{3} = 46\frac{1}{3} \approx 46.333333333
Graph
Share
Copied to clipboard
9x+15-7x-7=-3x+26\left(7+4\right)-x
To find the opposite of 7x+7, find the opposite of each term.
2x+15-7=-3x+26\left(7+4\right)-x
Combine 9x and -7x to get 2x.
2x+8=-3x+26\left(7+4\right)-x
Subtract 7 from 15 to get 8.
2x+8=-3x+26\times 11-x
Add 7 and 4 to get 11.
2x+8=-3x+286-x
Multiply 26 and 11 to get 286.
2x+8=-4x+286
Combine -3x and -x to get -4x.
2x+8+4x=286
Add 4x to both sides.
6x+8=286
Combine 2x and 4x to get 6x.
6x=286-8
Subtract 8 from both sides.
6x=278
Subtract 8 from 286 to get 278.
x=\frac{278}{6}
Divide both sides by 6.
x=\frac{139}{3}
Reduce the fraction \frac{278}{6} to lowest terms by extracting and canceling out 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}