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

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


Simplifying
5(f + -2) = 2(3 + -1f)

Reorder the terms:
5(-2 + f) = 2(3 + -1f)
(-2 * 5 + f * 5) = 2(3 + -1f)
(-10 + 5f) = 2(3 + -1f)
-10 + 5f = (3 * 2 + -1f * 2)
-10 + 5f = (6 + -2f)

Solving
-10 + 5f = 6 + -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 = 6 + -2f + 2f

Combine like terms: 5f + 2f = 7f
-10 + 7f = 6 + -2f + 2f

Combine like terms: -2f + 2f = 0
-10 + 7f = 6 + 0
-10 + 7f = 6

Add '10' to each side of the equation.
-10 + 10 + 7f = 6 + 10

Combine like terms: -10 + 10 = 0
0 + 7f = 6 + 10
7f = 6 + 10

Combine like terms: 6 + 10 = 16
7f = 16

Divide each side by '7'.
f = 2.285714286

Simplifying
f = 2.285714286

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