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

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

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

Reorder the terms:
3(2 + t) = 4(1 + -1t)
(2 * 3 + t * 3) = 4(1 + -1t)
(6 + 3t) = 4(1 + -1t)
6 + 3t = (1 * 4 + -1t * 4)
6 + 3t = (4 + -4t)

Solving
6 + 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.
6 + 3t + 4t = 4 + -4t + 4t

Combine like terms: 3t + 4t = 7t
6 + 7t = 4 + -4t + 4t

Combine like terms: -4t + 4t = 0
6 + 7t = 4 + 0
6 + 7t = 4

Add '-6' to each side of the equation.
6 + -6 + 7t = 4 + -6

Combine like terms: 6 + -6 = 0
0 + 7t = 4 + -6
7t = 4 + -6

Combine like terms: 4 + -6 = -2
7t = -2

Divide each side by '7'.
t = -0.2857142857

Simplifying
t = -0.2857142857