Solve for x
x = \frac{274}{3} = 91\frac{1}{3} \approx 91.333333333
Graph
Share
Copied to clipboard
-2x+8-\left(3x-2\right)=-2-262-2x
Use the distributive property to multiply -2 by x-4.
-2x+8-3x-\left(-2\right)=-2-262-2x
To find the opposite of 3x-2, find the opposite of each term.
-2x+8-3x+2=-2-262-2x
The opposite of -2 is 2.
-5x+8+2=-2-262-2x
Combine -2x and -3x to get -5x.
-5x+10=-2-262-2x
Add 8 and 2 to get 10.
-5x+10=-264-2x
Subtract 262 from -2 to get -264.
-5x+10+2x=-264
Add 2x to both sides.
-3x+10=-264
Combine -5x and 2x to get -3x.
-3x=-264-10
Subtract 10 from both sides.
-3x=-274
Subtract 10 from -264 to get -274.
x=\frac{-274}{-3}
Divide both sides by -3.
x=\frac{274}{3}
Fraction \frac{-274}{-3} can be simplified to \frac{274}{3} by removing the negative sign from both the numerator and the denominator.
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}