3f-5=7f+f-15

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Solution for 3f-5=7f+f-15 equation:


Simplifying
3f + -5 = 7f + f + -15

Reorder the terms:
-5 + 3f = 7f + f + -15

Reorder the terms:
-5 + 3f = -15 + 7f + f

Combine like terms: 7f + f = 8f
-5 + 3f = -15 + 8f

Solving
-5 + 3f = -15 + 8f

Solving for variable 'f'.

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

Add '-8f' to each side of the equation.
-5 + 3f + -8f = -15 + 8f + -8f

Combine like terms: 3f + -8f = -5f
-5 + -5f = -15 + 8f + -8f

Combine like terms: 8f + -8f = 0
-5 + -5f = -15 + 0
-5 + -5f = -15

Add '5' to each side of the equation.
-5 + 5 + -5f = -15 + 5

Combine like terms: -5 + 5 = 0
0 + -5f = -15 + 5
-5f = -15 + 5

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

Divide each side by '-5'.
f = 2

Simplifying
f = 2

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