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

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


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

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

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

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

Solving
-2 + 10t = 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.
-2 + 10t + t = 20 + -1t + t

Combine like terms: 10t + t = 11t
-2 + 11t = 20 + -1t + t

Combine like terms: -1t + t = 0
-2 + 11t = 20 + 0
-2 + 11t = 20

Add '2' to each side of the equation.
-2 + 2 + 11t = 20 + 2

Combine like terms: -2 + 2 = 0
0 + 11t = 20 + 2
11t = 20 + 2

Combine like terms: 20 + 2 = 22
11t = 22

Divide each side by '11'.
t = 2

Simplifying
t = 2

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