5(f+2)=2(4f-7)

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Solution for 5(f+2)=2(4f-7) equation:


Simplifying
5(f + 2) = 2(4f + -7)

Reorder the terms:
5(2 + f) = 2(4f + -7)
(2 * 5 + f * 5) = 2(4f + -7)
(10 + 5f) = 2(4f + -7)

Reorder the terms:
10 + 5f = 2(-7 + 4f)
10 + 5f = (-7 * 2 + 4f * 2)
10 + 5f = (-14 + 8f)

Solving
10 + 5f = -14 + 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.
10 + 5f + -8f = -14 + 8f + -8f

Combine like terms: 5f + -8f = -3f
10 + -3f = -14 + 8f + -8f

Combine like terms: 8f + -8f = 0
10 + -3f = -14 + 0
10 + -3f = -14

Add '-10' to each side of the equation.
10 + -10 + -3f = -14 + -10

Combine like terms: 10 + -10 = 0
0 + -3f = -14 + -10
-3f = -14 + -10

Combine like terms: -14 + -10 = -24
-3f = -24

Divide each side by '-3'.
f = 8

Simplifying
f = 8

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