4t+3=t-12

Solution for 4t+3=t-12 equation:

Simplifying
4t + 3 = t + -12

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

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

Solving
3 + 4t = -12 + t

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.
3 + 4t + -1t = -12 + t + -1t

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

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

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

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

Combine like terms: -12 + -3 = -15
3t = -15

Divide each side by '3'.
t = -5

Simplifying
t = -5