Solve for m
m=19
Share
Copied to clipboard
2\times 44=\left(m-8\right)\times 8
Variable m cannot be equal to 8 since division by zero is not defined. Multiply both sides of the equation by 2\left(m-8\right), the least common multiple of m-8,2.
88=\left(m-8\right)\times 8
Multiply 2 and 44 to get 88.
88=8m-64
Use the distributive property to multiply m-8 by 8.
8m-64=88
Swap sides so that all variable terms are on the left hand side.
8m=88+64
Add 64 to both sides.
8m=152
Add 88 and 64 to get 152.
m=\frac{152}{8}
Divide both sides by 8.
m=19
Divide 152 by 8 to get 19.
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}