5(f+3)-2f=4(4+2f)+10

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Solution for 5(f+3)-2f=4(4+2f)+10 equation: 


Simplifying
5(f + 3) + -2f = 4(4 + 2f) + 10

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

Combine like terms: 5f + -2f = 3f
15 + 3f = 4(4 + 2f) + 10
15 + 3f = (4 * 4 + 2f * 4) + 10
15 + 3f = (16 + 8f) + 10

Reorder the terms:
15 + 3f = 16 + 10 + 8f

Combine like terms: 16 + 10 = 26
15 + 3f = 26 + 8f

Solving
15 + 3f = 26 + 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.
15 + 3f + -8f = 26 + 8f + -8f

Combine like terms: 3f + -8f = -5f
15 + -5f = 26 + 8f + -8f

Combine like terms: 8f + -8f = 0
15 + -5f = 26 + 0
15 + -5f = 26

Add '-15' to each side of the equation.
15 + -15 + -5f = 26 + -15

Combine like terms: 15 + -15 = 0
0 + -5f = 26 + -15
-5f = 26 + -15

Combine like terms: 26 + -15 = 11
-5f = 11

Divide each side by '-5'.
f = -2.2

Simplifying
f = -2.2

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