4(t+5)=3(t+2)

Solution for 4(t+5)=3(t+2) equation:

Simplifying
4(t + 5) = 3(t + 2)

Reorder the terms:
4(5 + t) = 3(t + 2)
(5 * 4 + t * 4) = 3(t + 2)
(20 + 4t) = 3(t + 2)

Reorder the terms:
20 + 4t = 3(2 + t)
20 + 4t = (2 * 3 + t * 3)
20 + 4t = (6 + 3t)

Solving
20 + 4t = 6 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
20 + 4t + -3t = 6 + 3t + -3t

Combine like terms: 4t + -3t = 1t
20 + 1t = 6 + 3t + -3t

Combine like terms: 3t + -3t = 0
20 + 1t = 6 + 0
20 + 1t = 6

Add '-20' to each side of the equation.
20 + -20 + 1t = 6 + -20

Combine like terms: 20 + -20 = 0
0 + 1t = 6 + -20
1t = 6 + -20

Combine like terms: 6 + -20 = -14
1t = -14

Divide each side by '1'.
t = -14

Simplifying
t = -14