Solve for x
x=\frac{11}{12}\approx 0.916666667
Graph
Share
Copied to clipboard
2\left(4x+8\right)=5\left(4x+1\right)
Multiply both sides of the equation by 10, the least common multiple of 5,2.
8x+16=5\left(4x+1\right)
Use the distributive property to multiply 2 by 4x+8.
8x+16=20x+5
Use the distributive property to multiply 5 by 4x+1.
8x+16-20x=5
Subtract 20x from both sides.
-12x+16=5
Combine 8x and -20x to get -12x.
-12x=5-16
Subtract 16 from both sides.
-12x=-11
Subtract 16 from 5 to get -11.
x=\frac{-11}{-12}
Divide both sides by -12.
x=\frac{11}{12}
Fraction \frac{-11}{-12} can be simplified to \frac{11}{12} 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}