f(x)=2(x+1)-3(x-2)

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Solution for f(x)=2(x+1)-3(x-2) equation: 


Simplifying
f(x) = 2(x + 1) + -3(x + -2)

Multiply f * x
fx = 2(x + 1) + -3(x + -2)

Reorder the terms:
fx = 2(1 + x) + -3(x + -2)
fx = (1 * 2 + x * 2) + -3(x + -2)
fx = (2 + 2x) + -3(x + -2)

Reorder the terms:
fx = 2 + 2x + -3(-2 + x)
fx = 2 + 2x + (-2 * -3 + x * -3)
fx = 2 + 2x + (6 + -3x)

Reorder the terms:
fx = 2 + 6 + 2x + -3x

Combine like terms: 2 + 6 = 8
fx = 8 + 2x + -3x

Combine like terms: 2x + -3x = -1x
fx = 8 + -1x

Solving
fx = 8 + -1x

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 8x-1 + -1

Simplifying
f = 8x-1 + -1

Reorder the terms:
f = -1 + 8x-1

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