7(t-3)=2(t-18)+2t

Solution for 7(t-3)=2(t-18)+2t equation:

Simplifying
7(t + -3) = 2(t + -18) + 2t

Reorder the terms:
7(-3 + t) = 2(t + -18) + 2t
(-3 * 7 + t * 7) = 2(t + -18) + 2t
(-21 + 7t) = 2(t + -18) + 2t

Reorder the terms:
-21 + 7t = 2(-18 + t) + 2t
-21 + 7t = (-18 * 2 + t * 2) + 2t
-21 + 7t = (-36 + 2t) + 2t

Combine like terms: 2t + 2t = 4t
-21 + 7t = -36 + 4t

Solving
-21 + 7t = -36 + 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.
-21 + 7t + -4t = -36 + 4t + -4t

Combine like terms: 7t + -4t = 3t
-21 + 3t = -36 + 4t + -4t

Combine like terms: 4t + -4t = 0
-21 + 3t = -36 + 0
-21 + 3t = -36

Add '21' to each side of the equation.
-21 + 21 + 3t = -36 + 21

Combine like terms: -21 + 21 = 0
0 + 3t = -36 + 21
3t = -36 + 21

Combine like terms: -36 + 21 = -15
3t = -15

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

Simplifying
t = -5