Solve for x
x=7
Graph
Share
Copied to clipboard
\left(x+1\right)\times 2=\left(x-3\right)\times 4
Variable x cannot be equal to any of the values -1,3 since division by zero is not defined. Multiply both sides of the equation by \left(x-3\right)\left(x+1\right), the least common multiple of x-3,x+1.
2x+2=\left(x-3\right)\times 4
Use the distributive property to multiply x+1 by 2.
2x+2=4x-12
Use the distributive property to multiply x-3 by 4.
2x+2-4x=-12
Subtract 4x from both sides.
-2x+2=-12
Combine 2x and -4x to get -2x.
-2x=-12-2
Subtract 2 from both sides.
-2x=-14
Subtract 2 from -12 to get -14.
x=\frac{-14}{-2}
Divide both sides by -2.
x=7
Divide -14 by -2 to get 7.
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}