2+8(t-7)=5(t+2)+2

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Solution for 2+8(t-7)=5(t+2)+2 equation:


Simplifying
2 + 8(t + -7) = 5(t + 2) + 2

Reorder the terms:
2 + 8(-7 + t) = 5(t + 2) + 2
2 + (-7 * 8 + t * 8) = 5(t + 2) + 2
2 + (-56 + 8t) = 5(t + 2) + 2

Combine like terms: 2 + -56 = -54
-54 + 8t = 5(t + 2) + 2

Reorder the terms:
-54 + 8t = 5(2 + t) + 2
-54 + 8t = (2 * 5 + t * 5) + 2
-54 + 8t = (10 + 5t) + 2

Reorder the terms:
-54 + 8t = 10 + 2 + 5t

Combine like terms: 10 + 2 = 12
-54 + 8t = 12 + 5t

Solving
-54 + 8t = 12 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
-54 + 8t + -5t = 12 + 5t + -5t

Combine like terms: 8t + -5t = 3t
-54 + 3t = 12 + 5t + -5t

Combine like terms: 5t + -5t = 0
-54 + 3t = 12 + 0
-54 + 3t = 12

Add '54' to each side of the equation.
-54 + 54 + 3t = 12 + 54

Combine like terms: -54 + 54 = 0
0 + 3t = 12 + 54
3t = 12 + 54

Combine like terms: 12 + 54 = 66
3t = 66

Divide each side by '3'.
t = 22

Simplifying
t = 22

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