(7t+3)=2(t+1)

Solution for (7t+3)=2(t+1) equation:

Simplifying
(7t + 3) = 2(t + 1)

Reorder the terms:
(3 + 7t) = 2(t + 1)

Remove parenthesis around (3 + 7t)
3 + 7t = 2(t + 1)

Reorder the terms:
3 + 7t = 2(1 + t)
3 + 7t = (1 * 2 + t * 2)
3 + 7t = (2 + 2t)

Solving
3 + 7t = 2 + 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
3 + 7t + -2t = 2 + 2t + -2t

Combine like terms: 7t + -2t = 5t
3 + 5t = 2 + 2t + -2t

Combine like terms: 2t + -2t = 0
3 + 5t = 2 + 0
3 + 5t = 2

Add '-3' to each side of the equation.
3 + -3 + 5t = 2 + -3

Combine like terms: 3 + -3 = 0
0 + 5t = 2 + -3
5t = 2 + -3

Combine like terms: 2 + -3 = -1
5t = -1

Divide each side by '5'.
t = -0.2

Simplifying
t = -0.2