5(2-t)-(2-3t)=1

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Solution for 5(2-t)-(2-3t)=1 equation: 


Simplifying
5(2 + -1t) + -1(2 + -3t) = 1
(2 * 5 + -1t * 5) + -1(2 + -3t) = 1
(10 + -5t) + -1(2 + -3t) = 1
10 + -5t + (2 * -1 + -3t * -1) = 1
10 + -5t + (-2 + 3t) = 1

Reorder the terms:
10 + -2 + -5t + 3t = 1

Combine like terms: 10 + -2 = 8
8 + -5t + 3t = 1

Combine like terms: -5t + 3t = -2t
8 + -2t = 1

Solving
8 + -2t = 1

Solving for variable 't'.

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

Add '-8' to each side of the equation.
8 + -8 + -2t = 1 + -8

Combine like terms: 8 + -8 = 0
0 + -2t = 1 + -8
-2t = 1 + -8

Combine like terms: 1 + -8 = -7
-2t = -7

Divide each side by '-2'.
t = 3.5

Simplifying
t = 3.5

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