Solve for x
x = -\frac{3}{2} = -1\frac{1}{2} = -1.5
Graph
Share
Copied to clipboard
3x-8-7x+2=0
Variable x cannot be equal to \frac{2}{7} since division by zero is not defined. Multiply both sides of the equation by -7x+2.
-4x-8+2=0
Combine 3x and -7x to get -4x.
-4x-6=0
Add -8 and 2 to get -6.
-4x=6
Add 6 to both sides. Anything plus zero gives itself.
x=\frac{6}{-4}
Divide both sides by -4.
x=-\frac{3}{2}
Reduce the fraction \frac{6}{-4} 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}