Simplifying
5(t + 7) = 2(2t + 7)
Reorder the terms:
5(7 + t) = 2(2t + 7)
(7 * 5 + t * 5) = 2(2t + 7)
(35 + 5t) = 2(2t + 7)
Reorder the terms:
35 + 5t = 2(7 + 2t)
35 + 5t = (7 * 2 + 2t * 2)
35 + 5t = (14 + 4t)
Solving
35 + 5t = 14 + 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.
35 + 5t + -4t = 14 + 4t + -4t
Combine like terms: 5t + -4t = 1t
35 + 1t = 14 + 4t + -4t
Combine like terms: 4t + -4t = 0
35 + 1t = 14 + 0
35 + 1t = 14
Add '-35' to each side of the equation.
35 + -35 + 1t = 14 + -35
Combine like terms: 35 + -35 = 0
0 + 1t = 14 + -35
1t = 14 + -35
Combine like terms: 14 + -35 = -21
1t = -21
Divide each side by '1'.
t = -21
Simplifying
t = -21
