Solve for x
x=-13
Graph
Share
Copied to clipboard
7\left(x+5\right)+7x\left(-\frac{4}{7}\right)=-4
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 7x, the least common multiple of x,7,7x.
7x+35+7x\left(-\frac{4}{7}\right)=-4
Use the distributive property to multiply 7 by x+5.
7x+35-4x=-4
Multiply 7 and -\frac{4}{7} to get -4.
3x+35=-4
Combine 7x and -4x to get 3x.
3x=-4-35
Subtract 35 from both sides.
3x=-39
Subtract 35 from -4 to get -39.
x=\frac{-39}{3}
Divide both sides by 3.
x=-13
Divide -39 by 3 to get -13.
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}