Solve for x
x=-\frac{1}{3}\approx -0.333333333
Graph
Share
Copied to clipboard
\left(x+4\right)\times 8=\left(x+3\right)\times 11
Variable x cannot be equal to any of the values -4,-3 since division by zero is not defined. Multiply both sides of the equation by \left(x+3\right)\left(x+4\right), the least common multiple of x+3,x+4.
8x+32=\left(x+3\right)\times 11
Use the distributive property to multiply x+4 by 8.
8x+32=11x+33
Use the distributive property to multiply x+3 by 11.
8x+32-11x=33
Subtract 11x from both sides.
-3x+32=33
Combine 8x and -11x to get -3x.
-3x=33-32
Subtract 32 from both sides.
-3x=1
Subtract 32 from 33 to get 1.
x=\frac{1}{-3}
Divide both sides by -3.
x=-\frac{1}{3}
Fraction \frac{1}{-3} can be rewritten as -\frac{1}{3} 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}