4(t-3)=t+2

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

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

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

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

Solving
-12 + 4t = 2 + 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.
-12 + 4t + -1t = 2 + t + -1t

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

Combine like terms: t + -1t = 0
-12 + 3t = 2 + 0
-12 + 3t = 2

Add '12' to each side of the equation.
-12 + 12 + 3t = 2 + 12

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

Combine like terms: 2 + 12 = 14
3t = 14

Divide each side by '3'.
t = 4.666666667

Simplifying
t = 4.666666667