5(f+2)=2f-8

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Solution for 5(f+2)=2f-8 equation:


Simplifying
5(f + 2) = 2f + -8

Reorder the terms:
5(2 + f) = 2f + -8
(2 * 5 + f * 5) = 2f + -8
(10 + 5f) = 2f + -8

Reorder the terms:
10 + 5f = -8 + 2f

Solving
10 + 5f = -8 + 2f

Solving for variable 'f'.

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

Add '-2f' to each side of the equation.
10 + 5f + -2f = -8 + 2f + -2f

Combine like terms: 5f + -2f = 3f
10 + 3f = -8 + 2f + -2f

Combine like terms: 2f + -2f = 0
10 + 3f = -8 + 0
10 + 3f = -8

Add '-10' to each side of the equation.
10 + -10 + 3f = -8 + -10

Combine like terms: 10 + -10 = 0
0 + 3f = -8 + -10
3f = -8 + -10

Combine like terms: -8 + -10 = -18
3f = -18

Divide each side by '3'.
f = -6

Simplifying
f = -6

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