4(t+3)=3(t+4)-2(t+6)

Solution for 4(t+3)=3(t+4)-2(t+6) equation:

Simplifying
4(t + 3) = 3(t + 4) + -2(t + 6)

Reorder the terms:
4(3 + t) = 3(t + 4) + -2(t + 6)
(3 * 4 + t * 4) = 3(t + 4) + -2(t + 6)
(12 + 4t) = 3(t + 4) + -2(t + 6)

Reorder the terms:
12 + 4t = 3(4 + t) + -2(t + 6)
12 + 4t = (4 * 3 + t * 3) + -2(t + 6)
12 + 4t = (12 + 3t) + -2(t + 6)

Reorder the terms:
12 + 4t = 12 + 3t + -2(6 + t)
12 + 4t = 12 + 3t + (6 * -2 + t * -2)
12 + 4t = 12 + 3t + (-12 + -2t)

Reorder the terms:
12 + 4t = 12 + -12 + 3t + -2t

Combine like terms: 12 + -12 = 0
12 + 4t = 0 + 3t + -2t
12 + 4t = 3t + -2t

Combine like terms: 3t + -2t = 1t
12 + 4t = 1t

Solving
12 + 4t = 1t

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-1t' to each side of the equation.
12 + 4t + -1t = 1t + -1t

Combine like terms: 4t + -1t = 3t
12 + 3t = 1t + -1t

Combine like terms: 1t + -1t = 0
12 + 3t = 0

Add '-12' to each side of the equation.
12 + -12 + 3t = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 3t = 0 + -12
3t = 0 + -12

Combine like terms: 0 + -12 = -12
3t = -12

Divide each side by '3'.
t = -4

Simplifying
t = -4