6(t+5)=2(t+5)

Solution for 6(t+5)=2(t+5) equation:

Simplifying
6(t + 5) = 2(t + 5)

Reorder the terms:
6(5 + t) = 2(t + 5)
(5 * 6 + t * 6) = 2(t + 5)
(30 + 6t) = 2(t + 5)

Reorder the terms:
30 + 6t = 2(5 + t)
30 + 6t = (5 * 2 + t * 2)
30 + 6t = (10 + 2t)

Solving
30 + 6t = 10 + 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.
30 + 6t + -2t = 10 + 2t + -2t

Combine like terms: 6t + -2t = 4t
30 + 4t = 10 + 2t + -2t

Combine like terms: 2t + -2t = 0
30 + 4t = 10 + 0
30 + 4t = 10

Add '-30' to each side of the equation.
30 + -30 + 4t = 10 + -30

Combine like terms: 30 + -30 = 0
0 + 4t = 10 + -30
4t = 10 + -30

Combine like terms: 10 + -30 = -20
4t = -20

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

Simplifying
t = -5