5t-2(t+1)=t-10

Solution for 5t-2(t+1)=t-10 equation:

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

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

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

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

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

Solving
-2 + 3t = -10 + 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.
-2 + 3t + -1t = -10 + t + -1t

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

Combine like terms: t + -1t = 0
-2 + 2t = -10 + 0
-2 + 2t = -10

Add '2' to each side of the equation.
-2 + 2 + 2t = -10 + 2

Combine like terms: -2 + 2 = 0
0 + 2t = -10 + 2
2t = -10 + 2

Combine like terms: -10 + 2 = -8
2t = -8

Divide each side by '2'.
t = -4

Simplifying
t = -4