3(5f)+10=3f+20+17+3*27

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Solution for 3(5f)+10=3f+20+17+3*27 equation: 


Simplifying
3(5f) + 10 = 3f + 20 + 17 + 3 * 27

Remove parenthesis around (5f)
3 * 5f + 10 = 3f + 20 + 17 + 3 * 27

Multiply 3 * 5
15f + 10 = 3f + 20 + 17 + 3 * 27

Reorder the terms:
10 + 15f = 3f + 20 + 17 + 3 * 27

Multiply 3 * 27
10 + 15f = 3f + 20 + 17 + 81

Reorder the terms:
10 + 15f = 20 + 17 + 81 + 3f

Combine like terms: 20 + 17 = 37
10 + 15f = 37 + 81 + 3f

Combine like terms: 37 + 81 = 118
10 + 15f = 118 + 3f

Solving
10 + 15f = 118 + 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.
10 + 15f + -3f = 118 + 3f + -3f

Combine like terms: 15f + -3f = 12f
10 + 12f = 118 + 3f + -3f

Combine like terms: 3f + -3f = 0
10 + 12f = 118 + 0
10 + 12f = 118

Add '-10' to each side of the equation.
10 + -10 + 12f = 118 + -10

Combine like terms: 10 + -10 = 0
0 + 12f = 118 + -10
12f = 118 + -10

Combine like terms: 118 + -10 = 108
12f = 108

Divide each side by '12'.
f = 9

Simplifying
f = 9

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