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

The answer to a(x+b)+x(b-a)=2b(2a-x) is x=a;\quad b\ne 0

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

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

x = a; b \neq = 0

Solution steps

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

Expand

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

Expand

2 b (2 a - x) : 4 ab - 2 b x

b x + ab = 4 ab - 2 b x

Move

ab

to the right side

b x = - 2 b x + 3 ab

Move

2 b x

to the left side

3 b x = 3 ab

Divide both sides by

3 b; b \neq = 0

x = a; b \neq = 0

2 (6 + 5 x) - 11 = 71

\frac{x + 3}{8} - \frac{x - 3}{10} = \frac{x - 5}{4} - 1

x, 3 x + 2 y = 14

x, x + 3 y = 0

x, 3 x + 5 y = - 4

What is the answer to a(x+b)+x(b-a)=2b(2a-x) ?
The answer to a(x+b)+x(b-a)=2b(2a-x) is x=a;\quad b\ne 0