Solve for x
x=-\frac{1}{2}=-0.5
Graph
Share
Copied to clipboard
2x-5=6\left(4x+1\right)
Variable x cannot be equal to -\frac{1}{4} since division by zero is not defined. Multiply both sides of the equation by 4x+1.
2x-5=24x+6
Use the distributive property to multiply 6 by 4x+1.
2x-5-24x=6
Subtract 24x from both sides.
-22x-5=6
Combine 2x and -24x to get -22x.
-22x=6+5
Add 5 to both sides.
-22x=11
Add 6 and 5 to get 11.
x=\frac{11}{-22}
Divide both sides by -22.
x=-\frac{1}{2}
Reduce the fraction \frac{11}{-22} to lowest terms by extracting and canceling out 11.
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}