3(t-1)+12=4(t-1)+8

Solution for 3(t-1)+12=4(t-1)+8 equation:

Simplifying
3(t + -1) + 12 = 4(t + -1) + 8

Reorder the terms:
3(-1 + t) + 12 = 4(t + -1) + 8
(-1 * 3 + t * 3) + 12 = 4(t + -1) + 8
(-3 + 3t) + 12 = 4(t + -1) + 8

Reorder the terms:
-3 + 12 + 3t = 4(t + -1) + 8

Combine like terms: -3 + 12 = 9
9 + 3t = 4(t + -1) + 8

Reorder the terms:
9 + 3t = 4(-1 + t) + 8
9 + 3t = (-1 * 4 + t * 4) + 8
9 + 3t = (-4 + 4t) + 8

Reorder the terms:
9 + 3t = -4 + 8 + 4t

Combine like terms: -4 + 8 = 4
9 + 3t = 4 + 4t

Solving
9 + 3t = 4 + 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.
9 + 3t + -4t = 4 + 4t + -4t

Combine like terms: 3t + -4t = -1t
9 + -1t = 4 + 4t + -4t

Combine like terms: 4t + -4t = 0
9 + -1t = 4 + 0
9 + -1t = 4

Add '-9' to each side of the equation.
9 + -9 + -1t = 4 + -9

Combine like terms: 9 + -9 = 0
0 + -1t = 4 + -9
-1t = 4 + -9

Combine like terms: 4 + -9 = -5
-1t = -5

Divide each side by '-1'.
t = 5

Simplifying
t = 5