2(2t-5)+2=20-t

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Solution for 2(2t-5)+2=20-t equation:


Simplifying
2(2t + -5) + 2 = 20 + -1t

Reorder the terms:
2(-5 + 2t) + 2 = 20 + -1t
(-5 * 2 + 2t * 2) + 2 = 20 + -1t
(-10 + 4t) + 2 = 20 + -1t

Reorder the terms:
-10 + 2 + 4t = 20 + -1t

Combine like terms: -10 + 2 = -8
-8 + 4t = 20 + -1t

Solving
-8 + 4t = 20 + -1t

Solving for variable 't'.

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

Add 't' to each side of the equation.
-8 + 4t + t = 20 + -1t + t

Combine like terms: 4t + t = 5t
-8 + 5t = 20 + -1t + t

Combine like terms: -1t + t = 0
-8 + 5t = 20 + 0
-8 + 5t = 20

Add '8' to each side of the equation.
-8 + 8 + 5t = 20 + 8

Combine like terms: -8 + 8 = 0
0 + 5t = 20 + 8
5t = 20 + 8

Combine like terms: 20 + 8 = 28
5t = 28

Divide each side by '5'.
t = 5.6

Simplifying
t = 5.6

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