Solve for x
x=11
Graph
Quiz
Linear Equation
5 problems similar to:
\frac{ 7 }{ 5x+5 } - \frac{ 3 }{ 10x+10 } = \frac{ 11 }{ 120 }
Share
Copied to clipboard
24\times 7-12\times 3=11\left(x+1\right)
Variable x cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by 120\left(x+1\right), the least common multiple of 5x+5,10x+10,120.
168-36=11\left(x+1\right)
Do the multiplications.
132=11\left(x+1\right)
Subtract 36 from 168 to get 132.
132=11x+11
Use the distributive property to multiply 11 by x+1.
11x+11=132
Swap sides so that all variable terms are on the left hand side.
11x=132-11
Subtract 11 from both sides.
11x=121
Subtract 11 from 132 to get 121.
x=\frac{121}{11}
Divide both sides by 11.
x=11
Divide 121 by 11 to get 11.
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}