What is the answer to a(x+b)-x(b-a)=2b ?

The answer to a(x+b)-x(b-a)=2b is x=(2b-ab)/(2a-b);\quad a\ne b/2

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a(x+b)-x(b-a)=2b

a (x + b) - x (b - a) = 2 b

x = \frac{2 b - ab}{2 a - b}; a \neq = \frac{b}{2}

Solution steps

a (x + b) - x (b - a) = 2 b

Expand

a (x + b) - x (b - a) : 2 a x - b x + ab

2 a x - b x + ab = 2 b

Move

ab

to the right side

2 a x - b x = 2 b - ab

Factor

2 a x - b x : x (2 a - b)

x (2 a - b) = 2 b - ab

Divide both sides by

2 a - b; a \neq = \frac{b}{2}

x = \frac{2 b - ab}{2 a - b}; a \neq = \frac{b}{2}

\frac{x - 2}{12} = \frac{7}{8}

\frac{x}{25} = \frac{2}{5}

4.9 x + 4.4 = 19.1

- 4 x = - 16

18 w + 13 = 19 w - 7 + 6

What is the answer to a(x+b)-x(b-a)=2b ?
The answer to a(x+b)-x(b-a)=2b is x=(2b-ab)/(2a-b);\quad a\ne b/2