4(t-5)=2(t+5)

Solution for 4(t-5)=2(t+5) equation:

Simplifying
4(t + -5) = 2(t + 5)

Reorder the terms:
4(-5 + t) = 2(t + 5)
(-5 * 4 + t * 4) = 2(t + 5)
(-20 + 4t) = 2(t + 5)

Reorder the terms:
-20 + 4t = 2(5 + t)
-20 + 4t = (5 * 2 + t * 2)
-20 + 4t = (10 + 2t)

Solving
-20 + 4t = 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.
-20 + 4t + -2t = 10 + 2t + -2t

Combine like terms: 4t + -2t = 2t
-20 + 2t = 10 + 2t + -2t

Combine like terms: 2t + -2t = 0
-20 + 2t = 10 + 0
-20 + 2t = 10

Add '20' to each side of the equation.
-20 + 20 + 2t = 10 + 20

Combine like terms: -20 + 20 = 0
0 + 2t = 10 + 20
2t = 10 + 20

Combine like terms: 10 + 20 = 30
2t = 30

Divide each side by '2'.
t = 15

Simplifying
t = 15