f(x)a=2x+6-f(2)

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Solution for f(x)a=2x+6-f(2) equation:


Simplifying
f(x) * a = 2x + 6 + -1f(2)

Multiply f * x
fx * a = 2x + 6 + -1f(2)

Multiply fx * a
afx = 2x + 6 + -1f(2)

Reorder the terms for easier multiplication:
afx = 2x + 6 + -1 * 2f

Multiply -1 * 2
afx = 2x + 6 + -2f

Reorder the terms:
afx = 6 + -2f + 2x

Solving
afx = 6 + -2f + 2x

Solving for variable 'a'.

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

Divide each side by 'fx'.
a = 6f-1x-1 + -2x-1 + 2f-1

Simplifying
a = 6f-1x-1 + -2x-1 + 2f-1

Reorder the terms:
a = 2f-1 + 6f-1x-1 + -2x-1

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