What is the answer to x= x/b+a ?

The answer to x= x/b+a is x=(ab)/(b-1);\quad b\ne 0,b\ne 1

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x= x/b+a

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

x = \frac{ab}{b - 1}; b \neq = 0, b \neq = 1

Solution steps

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

Multiply both sides by

b

x b = x + ab; b \neq = 0

Move

x

to the left side

x b - x = ab; b \neq = 0

Factor

x b - x : x (b - 1)

x (b - 1) = ab; b \neq = 0

Divide both sides by

b - 1; b \neq = 0, b \neq = 1

x = \frac{ab}{b - 1}; b \neq = 0, b \neq = 1

lo g_{2} (\frac{1}{64}) = x

\frac{x}{- 10} = - 4

5 (x + 1) = 4 x + 2 (x - 13)

\frac{5 x}{7} - 8 = \frac{3 x}{5} + 4

2 (1 - 3 x) = 26

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