f(x)-g(x)=2-7(x)-2(x)+1

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Solution for f(x)-g(x)=2-7(x)-2(x)+1 equation: 


Simplifying
f(x) + -1g(x) = 2 + -7(x) + -2(x) + 1

Multiply f * x
fx + -1g(x) = 2 + -7(x) + -2(x) + 1

Multiply g * x
fx + -1gx = 2 + -7(x) + -2(x) + 1

Reorder the terms:
fx + -1gx = 2 + 1 + -7x + -2x

Combine like terms: 2 + 1 = 3
fx + -1gx = 3 + -7x + -2x

Combine like terms: -7x + -2x = -9x
fx + -1gx = 3 + -9x

Solving
fx + -1gx = 3 + -9x

Solving for variable 'f'.

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

Add 'gx' to each side of the equation.
fx + -1gx + gx = 3 + gx + -9x

Combine like terms: -1gx + gx = 0
fx + 0 = 3 + gx + -9x
fx = 3 + gx + -9x

Divide each side by 'x'.
f = 3x-1 + g + -9

Simplifying
f = 3x-1 + g + -9

Reorder the terms:
f = -9 + g + 3x-1

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