Solve for m
m = \frac{35}{6} = 5\frac{5}{6} \approx 5.833333333
Share
Copied to clipboard
5m-3.5=3.2m+7
Use the distributive property to multiply 2 by 1.6m+3.5.
5m-3.5-3.2m=7
Subtract 3.2m from both sides.
1.8m-3.5=7
Combine 5m and -3.2m to get 1.8m.
1.8m=7+3.5
Add 3.5 to both sides.
1.8m=10.5
Add 7 and 3.5 to get 10.5.
m=\frac{10.5}{1.8}
Divide both sides by 1.8.
m=\frac{105}{18}
Expand \frac{10.5}{1.8} by multiplying both numerator and the denominator by 10.
m=\frac{35}{6}
Reduce the fraction \frac{105}{18} to lowest terms by extracting and canceling out 3.
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}