2(f+6)-2=3f-5

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Solution for 2(f+6)-2=3f-5 equation: 


Simplifying
2(f + 6) + -2 = 3f + -5

Reorder the terms:
2(6 + f) + -2 = 3f + -5
(6 * 2 + f * 2) + -2 = 3f + -5
(12 + 2f) + -2 = 3f + -5

Reorder the terms:
12 + -2 + 2f = 3f + -5

Combine like terms: 12 + -2 = 10
10 + 2f = 3f + -5

Reorder the terms:
10 + 2f = -5 + 3f

Solving
10 + 2f = -5 + 3f

Solving for variable 'f'.

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

Add '-3f' to each side of the equation.
10 + 2f + -3f = -5 + 3f + -3f

Combine like terms: 2f + -3f = -1f
10 + -1f = -5 + 3f + -3f

Combine like terms: 3f + -3f = 0
10 + -1f = -5 + 0
10 + -1f = -5

Add '-10' to each side of the equation.
10 + -10 + -1f = -5 + -10

Combine like terms: 10 + -10 = 0
0 + -1f = -5 + -10
-1f = -5 + -10

Combine like terms: -5 + -10 = -15
-1f = -15

Divide each side by '-1'.
f = 15

Simplifying
f = 15

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