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

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

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

Reorder the terms:
3(-2 + t) + t + -2 = -1(t + -10)
(-2 * 3 + t * 3) + t + -2 = -1(t + -10)
(-6 + 3t) + t + -2 = -1(t + -10)

Reorder the terms:
-6 + -2 + 3t + t = -1(t + -10)

Combine like terms: -6 + -2 = -8
-8 + 3t + t = -1(t + -10)

Combine like terms: 3t + t = 4t
-8 + 4t = -1(t + -10)

Reorder the terms:
-8 + 4t = -1(-10 + t)
-8 + 4t = (-10 * -1 + t * -1)
-8 + 4t = (10 + -1t)

Solving
-8 + 4t = 10 + -1t

Solving for variable 't'.

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

Add 't' to each side of the equation.
-8 + 4t + t = 10 + -1t + t

Combine like terms: 4t + t = 5t
-8 + 5t = 10 + -1t + t

Combine like terms: -1t + t = 0
-8 + 5t = 10 + 0
-8 + 5t = 10

Add '8' to each side of the equation.
-8 + 8 + 5t = 10 + 8

Combine like terms: -8 + 8 = 0
0 + 5t = 10 + 8
5t = 10 + 8

Combine like terms: 10 + 8 = 18
5t = 18

Divide each side by '5'.
t = 3.6

Simplifying
t = 3.6