Solve for x
x=-2
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5x+5\left(x+1\right)\times \frac{4}{5}=-14
Variable x cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by 5\left(x+1\right), the least common multiple of x+1,5,5\left(x+1\right).
5x+4\left(x+1\right)=-14
Multiply 5 and \frac{4}{5} to get 4.
5x+4x+4=-14
Use the distributive property to multiply 4 by x+1.
9x+4=-14
Combine 5x and 4x to get 9x.
9x=-14-4
Subtract 4 from both sides.
9x=-18
Subtract 4 from -14 to get -18.
x=\frac{-18}{9}
Divide both sides by 9.
x=-2
Divide -18 by 9 to get -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}