5(f-2)+6(t-3)=5

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Solution for 5(f-2)+6(t-3)=5 equation:


Simplifying
5(f + -2) + 6(t + -3) = 5

Reorder the terms:
5(-2 + f) + 6(t + -3) = 5
(-2 * 5 + f * 5) + 6(t + -3) = 5
(-10 + 5f) + 6(t + -3) = 5

Reorder the terms:
-10 + 5f + 6(-3 + t) = 5
-10 + 5f + (-3 * 6 + t * 6) = 5
-10 + 5f + (-18 + 6t) = 5

Reorder the terms:
-10 + -18 + 5f + 6t = 5

Combine like terms: -10 + -18 = -28
-28 + 5f + 6t = 5

Solving
-28 + 5f + 6t = 5

Solving for variable 'f'.

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

Add '28' to each side of the equation.
-28 + 5f + 28 + 6t = 5 + 28

Reorder the terms:
-28 + 28 + 5f + 6t = 5 + 28

Combine like terms: -28 + 28 = 0
0 + 5f + 6t = 5 + 28
5f + 6t = 5 + 28

Combine like terms: 5 + 28 = 33
5f + 6t = 33

Add '-6t' to each side of the equation.
5f + 6t + -6t = 33 + -6t

Combine like terms: 6t + -6t = 0
5f + 0 = 33 + -6t
5f = 33 + -6t

Divide each side by '5'.
f = 6.6 + -1.2t

Simplifying
f = 6.6 + -1.2t

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