2f+13=5f-8

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Solution for 2f+13=5f-8 equation:


Simplifying
2f + 13 = 5f + -8

Reorder the terms:
13 + 2f = 5f + -8

Reorder the terms:
13 + 2f = -8 + 5f

Solving
13 + 2f = -8 + 5f

Solving for variable 'f'.

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

Add '-5f' to each side of the equation.
13 + 2f + -5f = -8 + 5f + -5f

Combine like terms: 2f + -5f = -3f
13 + -3f = -8 + 5f + -5f

Combine like terms: 5f + -5f = 0
13 + -3f = -8 + 0
13 + -3f = -8

Add '-13' to each side of the equation.
13 + -13 + -3f = -8 + -13

Combine like terms: 13 + -13 = 0
0 + -3f = -8 + -13
-3f = -8 + -13

Combine like terms: -8 + -13 = -21
-3f = -21

Divide each side by '-3'.
f = 7

Simplifying
f = 7

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