Solve for x
x=-\frac{22}{49}\approx -0.448979592
Graph
Share
Copied to clipboard
5x+5\left(2x+1\right)\times 5=3\left(2x+1\right)
Variable x cannot be equal to -\frac{1}{2} since division by zero is not defined. Multiply both sides of the equation by 5\left(2x+1\right), the least common multiple of 2x+1,5.
5x+25\left(2x+1\right)=3\left(2x+1\right)
Multiply 5 and 5 to get 25.
5x+50x+25=3\left(2x+1\right)
Use the distributive property to multiply 25 by 2x+1.
55x+25=3\left(2x+1\right)
Combine 5x and 50x to get 55x.
55x+25=6x+3
Use the distributive property to multiply 3 by 2x+1.
55x+25-6x=3
Subtract 6x from both sides.
49x+25=3
Combine 55x and -6x to get 49x.
49x=3-25
Subtract 25 from both sides.
49x=-22
Subtract 25 from 3 to get -22.
x=\frac{-22}{49}
Divide both sides by 49.
x=-\frac{22}{49}
Fraction \frac{-22}{49} can be rewritten as -\frac{22}{49} by extracting the negative sign.
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}