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 = 40
4t = 40

Divide each side by '4'.
t = 10

Simplifying
t = 10