ax+b(2-x)=2b

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Solution for ax+b(2-x)=2b equation:


Simplifying
ax + b(2 + -1x) = 2b
ax + (2 * b + -1x * b) = 2b
ax + (2b + -1bx) = 2b

Add '-2b' to each side of the equation.
ax + 2b + -2b + -1bx = 2b + -2b

Combine like terms: 2b + -2b = 0
ax + 0 + -1bx = 2b + -2b
ax + -1bx = 2b + -2b

Combine like terms: 2b + -2b = 0
ax + -1bx = 0

Solving
ax + -1bx = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add 'bx' to each side of the equation.
ax + -1bx + bx = 0 + bx

Combine like terms: -1bx + bx = 0
ax + 0 = 0 + bx
ax = 0 + bx
Remove the zero:
ax = bx

Divide each side by 'x'.
a = b

Simplifying
a = b

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