10(11-t)+2=-2(t-3)-6

Solution for 10(11-t)+2=-2(t-3)-6 equation:

Simplifying
10(11 + -1t) + 2 = -2(t + -3) + -6
(11 * 10 + -1t * 10) + 2 = -2(t + -3) + -6
(110 + -10t) + 2 = -2(t + -3) + -6

Reorder the terms:
110 + 2 + -10t = -2(t + -3) + -6

Combine like terms: 110 + 2 = 112
112 + -10t = -2(t + -3) + -6

Reorder the terms:
112 + -10t = -2(-3 + t) + -6
112 + -10t = (-3 * -2 + t * -2) + -6
112 + -10t = (6 + -2t) + -6

Reorder the terms:
112 + -10t = 6 + -6 + -2t

Combine like terms: 6 + -6 = 0
112 + -10t = 0 + -2t
112 + -10t = -2t

Solving
112 + -10t = -2t

Solving for variable 't'.

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

Add '2t' to each side of the equation.
112 + -10t + 2t = -2t + 2t

Combine like terms: -10t + 2t = -8t
112 + -8t = -2t + 2t

Combine like terms: -2t + 2t = 0
112 + -8t = 0

Add '-112' to each side of the equation.
112 + -112 + -8t = 0 + -112

Combine like terms: 112 + -112 = 0
0 + -8t = 0 + -112
-8t = 0 + -112

Combine like terms: 0 + -112 = -112
-8t = -112

Divide each side by '-8'.
t = 14

Simplifying
t = 14