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

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Solution for 5(f-1)=3(f+3) equation:


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

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

Reorder the terms:
-5 + 5f = 3(3 + f)
-5 + 5f = (3 * 3 + f * 3)
-5 + 5f = (9 + 3f)

Solving
-5 + 5f = 9 + 3f

Solving for variable 'f'.

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

Add '-3f' to each side of the equation.
-5 + 5f + -3f = 9 + 3f + -3f

Combine like terms: 5f + -3f = 2f
-5 + 2f = 9 + 3f + -3f

Combine like terms: 3f + -3f = 0
-5 + 2f = 9 + 0
-5 + 2f = 9

Add '5' to each side of the equation.
-5 + 5 + 2f = 9 + 5

Combine like terms: -5 + 5 = 0
0 + 2f = 9 + 5
2f = 9 + 5

Combine like terms: 9 + 5 = 14
2f = 14

Divide each side by '2'.
f = 7

Simplifying
f = 7

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