3+8(t-1)=4(t+1)+7

Solution for 3+8(t-1)=4(t+1)+7 equation:

Simplifying
3 + 8(t + -1) = 4(t + 1) + 7

Reorder the terms:
3 + 8(-1 + t) = 4(t + 1) + 7
3 + (-1 * 8 + t * 8) = 4(t + 1) + 7
3 + (-8 + 8t) = 4(t + 1) + 7

Combine like terms: 3 + -8 = -5
-5 + 8t = 4(t + 1) + 7

Reorder the terms:
-5 + 8t = 4(1 + t) + 7
-5 + 8t = (1 * 4 + t * 4) + 7
-5 + 8t = (4 + 4t) + 7

Reorder the terms:
-5 + 8t = 4 + 7 + 4t

Combine like terms: 4 + 7 = 11
-5 + 8t = 11 + 4t

Solving
-5 + 8t = 11 + 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.
-5 + 8t + -4t = 11 + 4t + -4t

Combine like terms: 8t + -4t = 4t
-5 + 4t = 11 + 4t + -4t

Combine like terms: 4t + -4t = 0
-5 + 4t = 11 + 0
-5 + 4t = 11

Add '5' to each side of the equation.
-5 + 5 + 4t = 11 + 5

Combine like terms: -5 + 5 = 0
0 + 4t = 11 + 5
4t = 11 + 5

Combine like terms: 11 + 5 = 16
4t = 16

Divide each side by '4'.
t = 4

Simplifying
t = 4