-f(x)=(3x+4)-(7x-2)

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Solution for -f(x)=(3x+4)-(7x-2) equation:


Simplifying
-1f(x) = (3x + 4) + -1(7x + -2)

Multiply f * x
-1fx = (3x + 4) + -1(7x + -2)

Reorder the terms:
-1fx = (4 + 3x) + -1(7x + -2)

Remove parenthesis around (4 + 3x)
-1fx = 4 + 3x + -1(7x + -2)

Reorder the terms:
-1fx = 4 + 3x + -1(-2 + 7x)
-1fx = 4 + 3x + (-2 * -1 + 7x * -1)
-1fx = 4 + 3x + (2 + -7x)

Reorder the terms:
-1fx = 4 + 2 + 3x + -7x

Combine like terms: 4 + 2 = 6
-1fx = 6 + 3x + -7x

Combine like terms: 3x + -7x = -4x
-1fx = 6 + -4x

Solving
-1fx = 6 + -4x

Solving for variable 'f'.

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

Divide each side by '-1x'.
f = -6x-1 + 4

Simplifying
f = -6x-1 + 4

Reorder the terms:
f = 4 + -6x-1

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