5(f-2)=2(f+4)

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Solution for 5(f-2)=2(f+4) equation:


Simplifying
5(f + -2) = 2(f + 4)

Reorder the terms:
5(-2 + f) = 2(f + 4)
(-2 * 5 + f * 5) = 2(f + 4)
(-10 + 5f) = 2(f + 4)

Reorder the terms:
-10 + 5f = 2(4 + f)
-10 + 5f = (4 * 2 + f * 2)
-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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