What is the answer to solvefor x, m/2+(3mx)/5 =m+2x ?

The answer to solvefor x, m/2+(3mx)/5 =m+2x is x=(5m)/(2(3m-10));\quad m\ne 10/3

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solvefor x, m/2+(3mx)/5 =m+2x

solve for

x, \frac{m}{2} + \frac{3 m x}{5} = m + 2 x

x = \frac{5 m}{2 ( 3 m - 10 )}; m \neq = \frac{10}{3}

Solution steps

\frac{m}{2} + \frac{3 m x}{5} = m + 2 x

Move

\frac{m}{2}

to the right side

\frac{3 m x}{5} = m + 2 x - \frac{m}{2}

Multiply both sides by

5

3 m x = 5 m + 10 x - \frac{5 m}{2}

Move

10 x

to the left side

3 m x - 10 x = 5 m - \frac{5 m}{2}

Factor

3 m x - 10 x : x (3 m - 10)

x (3 m - 10) = 5 m - \frac{5 m}{2}

Divide both sides by

3 m - 10; m \neq = \frac{10}{3}

x = \frac{5 m}{2 ( 3 m - 10 )}; m \neq = \frac{10}{3}

lo g_{1} (2144) = 2

4 x - 8 = 12

m, 10 m + 12 n = - 6

x, z = 5 x - 11 y

y, π = 7 x - 2 y

What is the answer to solvefor x, m/2+(3mx)/5 =m+2x ?
The answer to solvefor x, m/2+(3mx)/5 =m+2x is x=(5m)/(2(3m-10));\quad m\ne 10/3