3(3f+5)-10f=3(2f-5)+2

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Solution for 3(3f+5)-10f=3(2f-5)+2 equation: 


Simplifying
3(3f + 5) + -10f = 3(2f + -5) + 2

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

Combine like terms: 9f + -10f = -1f
15 + -1f = 3(2f + -5) + 2

Reorder the terms:
15 + -1f = 3(-5 + 2f) + 2
15 + -1f = (-5 * 3 + 2f * 3) + 2
15 + -1f = (-15 + 6f) + 2

Reorder the terms:
15 + -1f = -15 + 2 + 6f

Combine like terms: -15 + 2 = -13
15 + -1f = -13 + 6f

Solving
15 + -1f = -13 + 6f

Solving for variable 'f'.

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

Add '-6f' to each side of the equation.
15 + -1f + -6f = -13 + 6f + -6f

Combine like terms: -1f + -6f = -7f
15 + -7f = -13 + 6f + -6f

Combine like terms: 6f + -6f = 0
15 + -7f = -13 + 0
15 + -7f = -13

Add '-15' to each side of the equation.
15 + -15 + -7f = -13 + -15

Combine like terms: 15 + -15 = 0
0 + -7f = -13 + -15
-7f = -13 + -15

Combine like terms: -13 + -15 = -28
-7f = -28

Divide each side by '-7'.
f = 4

Simplifying
f = 4

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