t+(t+5)(-5)=t-5

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

Simplifying
t + (t + 5)(-5) = t + -5

Reorder the terms:
t + (5 + t)(-5) = t + -5

Reorder the terms for easier multiplication:
t + -5(5 + t) = t + -5
t + (5 * -5 + t * -5) = t + -5
t + (-25 + -5t) = t + -5

Reorder the terms:
-25 + t + -5t = t + -5

Combine like terms: t + -5t = -4t
-25 + -4t = t + -5

Reorder the terms:
-25 + -4t = -5 + t

Solving
-25 + -4t = -5 + t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
-25 + -4t + -1t = -5 + t + -1t

Combine like terms: -4t + -1t = -5t
-25 + -5t = -5 + t + -1t

Combine like terms: t + -1t = 0
-25 + -5t = -5 + 0
-25 + -5t = -5

Add '25' to each side of the equation.
-25 + 25 + -5t = -5 + 25

Combine like terms: -25 + 25 = 0
0 + -5t = -5 + 25
-5t = -5 + 25

Combine like terms: -5 + 25 = 20
-5t = 20

Divide each side by '-5'.
t = -4

Simplifying
t = -4