4(t-1)+3=2(t+5)

Solution for 4(t-1)+3=2(t+5) equation:

Simplifying
4(t + -1) + 3 = 2(t + 5)

Reorder the terms:
4(-1 + t) + 3 = 2(t + 5)
(-1 * 4 + t * 4) + 3 = 2(t + 5)
(-4 + 4t) + 3 = 2(t + 5)

Reorder the terms:
-4 + 3 + 4t = 2(t + 5)

Combine like terms: -4 + 3 = -1
-1 + 4t = 2(t + 5)

Reorder the terms:
-1 + 4t = 2(5 + t)
-1 + 4t = (5 * 2 + t * 2)
-1 + 4t = (10 + 2t)

Solving
-1 + 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.
-1 + 4t + -2t = 10 + 2t + -2t

Combine like terms: 4t + -2t = 2t
-1 + 2t = 10 + 2t + -2t

Combine like terms: 2t + -2t = 0
-1 + 2t = 10 + 0
-1 + 2t = 10

Add '1' to each side of the equation.
-1 + 1 + 2t = 10 + 1

Combine like terms: -1 + 1 = 0
0 + 2t = 10 + 1
2t = 10 + 1

Combine like terms: 10 + 1 = 11
2t = 11

Divide each side by '2'.
t = 5.5

Simplifying
t = 5.5