5(3f-2)=2(4f+9)

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Solution for 5(3f-2)=2(4f+9) equation:


Simplifying
5(3f + -2) = 2(4f + 9)

Reorder the terms:
5(-2 + 3f) = 2(4f + 9)
(-2 * 5 + 3f * 5) = 2(4f + 9)
(-10 + 15f) = 2(4f + 9)

Reorder the terms:
-10 + 15f = 2(9 + 4f)
-10 + 15f = (9 * 2 + 4f * 2)
-10 + 15f = (18 + 8f)

Solving
-10 + 15f = 18 + 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 + 15f + -8f = 18 + 8f + -8f

Combine like terms: 15f + -8f = 7f
-10 + 7f = 18 + 8f + -8f

Combine like terms: 8f + -8f = 0
-10 + 7f = 18 + 0
-10 + 7f = 18

Add '10' to each side of the equation.
-10 + 10 + 7f = 18 + 10

Combine like terms: -10 + 10 = 0
0 + 7f = 18 + 10
7f = 18 + 10

Combine like terms: 18 + 10 = 28
7f = 28

Divide each side by '7'.
f = 4

Simplifying
f = 4

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