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

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


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

Reorder the terms:
5(-3 + -2t) + -1(5 + -1(5t + 2)) = 1
(-3 * 5 + -2t * 5) + -1(5 + -1(5t + 2)) = 1
(-15 + -10t) + -1(5 + -1(5t + 2)) = 1

Reorder the terms:
-15 + -10t + -1(5 + -1(2 + 5t)) = 1
-15 + -10t + -1(5 + (2 * -1 + 5t * -1)) = 1
-15 + -10t + -1(5 + (-2 + -5t)) = 1

Combine like terms: 5 + -2 = 3
-15 + -10t + -1(3 + -5t) = 1
-15 + -10t + (3 * -1 + -5t * -1) = 1
-15 + -10t + (-3 + 5t) = 1

Reorder the terms:
-15 + -3 + -10t + 5t = 1

Combine like terms: -15 + -3 = -18
-18 + -10t + 5t = 1

Combine like terms: -10t + 5t = -5t
-18 + -5t = 1

Solving
-18 + -5t = 1

Solving for variable 't'.

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

Add '18' to each side of the equation.
-18 + 18 + -5t = 1 + 18

Combine like terms: -18 + 18 = 0
0 + -5t = 1 + 18
-5t = 1 + 18

Combine like terms: 1 + 18 = 19
-5t = 19

Divide each side by '-5'.
t = -3.8

Simplifying
t = -3.8

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