What is the answer to x/(2a)-(1-x)/(a^2)= 1/(2a) ?

The answer to x/(2a)-(1-x)/(a^2)= 1/(2a) is x=1;\quad a\ne 0,a\ne-2

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x/(2a)-(1-x)/(a^2)= 1/(2a)

\frac{x}{2 a} - \frac{1 - x}{a ^{2}} = \frac{1}{2 a}

x = 1; a \neq = 0, a \neq = - 2

Solution steps

\frac{x}{2 a} - \frac{1 - x}{a ^{2}} = \frac{1}{2 a}

Multiply by LCM

a x - 2 (1 - x) = a; a \neq = 0

Expand

- 2 (1 - x) : - 2 + 2 x

a x - 2 + 2 x = a; a \neq = 0

Move

2

to the right side

a x + 2 x = a + 2; a \neq = 0

Factor

a x + 2 x : x (a + 2)

x (a + 2) = a + 2; a \neq = 0

Divide both sides by

a + 2; a \neq = 0, a \neq = - 2

x = 1; a \neq = 0, a \neq = - 2

x, 5 x - 3 y = 1

\frac{( 5 r - 9 )}{3} + \frac{r}{2} = 10

- 8 s = - 7 s + 10

x, x + 2 y = 11

lo g_{5} (\frac{1}{125}) = x

What is the answer to x/(2a)-(1-x)/(a^2)= 1/(2a) ?
The answer to x/(2a)-(1-x)/(a^2)= 1/(2a) is x=1;\quad a\ne 0,a\ne-2