for-2-2(3x-8)=-(1-9x)-(x-3)

Solution for for-2-2(3x-8)=-(1-9x)-(x-3) equation:

Simplifying
for + -2 + -2(3x + -8) = -1(1 + -9x) + -1(x + -3)

Reorder the terms:
for + -2 + -2(-8 + 3x) = -1(1 + -9x) + -1(x + -3)
for + -2 + (-8 * -2 + 3x * -2) = -1(1 + -9x) + -1(x + -3)
for + -2 + (16 + -6x) = -1(1 + -9x) + -1(x + -3)

Reorder the terms:
-2 + 16 + for + -6x = -1(1 + -9x) + -1(x + -3)

Combine like terms: -2 + 16 = 14
14 + for + -6x = -1(1 + -9x) + -1(x + -3)
14 + for + -6x = (1 * -1 + -9x * -1) + -1(x + -3)
14 + for + -6x = (-1 + 9x) + -1(x + -3)

Reorder the terms:
14 + for + -6x = -1 + 9x + -1(-3 + x)
14 + for + -6x = -1 + 9x + (-3 * -1 + x * -1)
14 + for + -6x = -1 + 9x + (3 + -1x)

Reorder the terms:
14 + for + -6x = -1 + 3 + 9x + -1x

Combine like terms: -1 + 3 = 2
14 + for + -6x = 2 + 9x + -1x

Combine like terms: 9x + -1x = 8x
14 + for + -6x = 2 + 8x

Solving
14 + for + -6x = 2 + 8x

Solving for variable 'f'.

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

Add '-14' to each side of the equation.
14 + for + -14 + -6x = 2 + -14 + 8x

Reorder the terms:
14 + -14 + for + -6x = 2 + -14 + 8x

Combine like terms: 14 + -14 = 0
0 + for + -6x = 2 + -14 + 8x
for + -6x = 2 + -14 + 8x

Combine like terms: 2 + -14 = -12
for + -6x = -12 + 8x

Add '6x' to each side of the equation.
for + -6x + 6x = -12 + 8x + 6x

Combine like terms: -6x + 6x = 0
for + 0 = -12 + 8x + 6x
for = -12 + 8x + 6x

Combine like terms: 8x + 6x = 14x
for = -12 + 14x

Divide each side by 'or'.
f = -12o-1r-1 + 14o-1r-1x

Simplifying
f = -12o-1r-1 + 14o-1r-1x