6(t-5)=4(t+3)

Solution for 6(t-5)=4(t+3) equation:

Simplifying
6(t + -5) = 4(t + 3)

Reorder the terms:
6(-5 + t) = 4(t + 3)
(-5 * 6 + t * 6) = 4(t + 3)
(-30 + 6t) = 4(t + 3)

Reorder the terms:
-30 + 6t = 4(3 + t)
-30 + 6t = (3 * 4 + t * 4)
-30 + 6t = (12 + 4t)

Solving
-30 + 6t = 12 + 4t

Solving for variable 't'.

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

Add '-4t' to each side of the equation.
-30 + 6t + -4t = 12 + 4t + -4t

Combine like terms: 6t + -4t = 2t
-30 + 2t = 12 + 4t + -4t

Combine like terms: 4t + -4t = 0
-30 + 2t = 12 + 0
-30 + 2t = 12

Add '30' to each side of the equation.
-30 + 30 + 2t = 12 + 30

Combine like terms: -30 + 30 = 0
0 + 2t = 12 + 30
2t = 12 + 30

Combine like terms: 12 + 30 = 42
2t = 42

Divide each side by '2'.
t = 21

Simplifying
t = 21