What is the answer to x/b-x=(-x+a)/5 ?

The answer to x/b-x=(-x+a)/5 is x=(ba)/(5-4b);\quad b\ne 0,b\ne 5/4

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x/b-x=(-x+a)/5

\frac{x}{b} - x = \frac{- x + a}{5}

x = \frac{ba}{5 - 4 b}; b \neq = 0, b \neq = \frac{5}{4}

Solution steps

\frac{x}{b} - x = \frac{- x + a}{5}

Multiply by LCM

5 x - x \cdot 5 b = b (- x + a); b \neq = 0

Expand

b (- x + a) : - b x + ba

5 x - x \cdot 5 b = - b x + ba; b \neq = 0

Move

b x

to the left side

5 x - 4 b x = ba; b \neq = 0

Factor

5 x - 4 b x : x (5 - 4 b)

x (5 - 4 b) = ba; b \neq = 0

Divide both sides by

5 - 4 b; b \neq = 0, b \neq = \frac{5}{4}

x = \frac{ba}{5 - 4 b}; b \neq = 0, b \neq = \frac{5}{4}

2 x + 6 = 3 x + 4

y + 2 y = 0

- 2 (x - 3) = 2 x - 6

2 x + 5 = - 25 + 3 \cdot (x + 20)

4 (- x) + 3 (3 x + 4) = 4 (3 x - 17) - (5 x + 4)

What is the answer to x/b-x=(-x+a)/5 ?
The answer to x/b-x=(-x+a)/5 is x=(ba)/(5-4b);\quad b\ne 0,b\ne 5/4