xa-7=b(x+2)

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Solution for xa-7=b(x+2) equation:


Simplifying
xa + -7 = b(x + 2)

Reorder the terms:
-7 + ax = b(x + 2)

Reorder the terms:
-7 + ax = b(2 + x)
-7 + ax = (2 * b + x * b)
-7 + ax = (2b + bx)

Solving
-7 + ax = 2b + bx

Solving for variable 'a'.

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

Add '7' to each side of the equation.
-7 + 7 + ax = 2b + 7 + bx

Combine like terms: -7 + 7 = 0
0 + ax = 2b + 7 + bx
ax = 2b + 7 + bx

Reorder the terms:
ax = 7 + 2b + bx

Divide each side by 'x'.
a = 7x-1 + 2bx-1 + b

Simplifying
a = 7x-1 + 2bx-1 + b

Reorder the terms:
a = b + 2bx-1 + 7x-1

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