7t+1-3t+5=2(t+1)

Solution for 7t+1-3t+5=2(t+1) equation:

Simplifying
7t + 1 + -3t + 5 = 2(t + 1)

Reorder the terms:
1 + 5 + 7t + -3t = 2(t + 1)

Combine like terms: 1 + 5 = 6
6 + 7t + -3t = 2(t + 1)

Combine like terms: 7t + -3t = 4t
6 + 4t = 2(t + 1)

Reorder the terms:
6 + 4t = 2(1 + t)
6 + 4t = (1 * 2 + t * 2)
6 + 4t = (2 + 2t)

Solving
6 + 4t = 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.
6 + 4t + -2t = 2 + 2t + -2t

Combine like terms: 4t + -2t = 2t
6 + 2t = 2 + 2t + -2t

Combine like terms: 2t + -2t = 0
6 + 2t = 2 + 0
6 + 2t = 2

Add '-6' to each side of the equation.
6 + -6 + 2t = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 2t = 2 + -6
2t = 2 + -6

Combine like terms: 2 + -6 = -4
2t = -4

Divide each side by '2'.
t = -2

Simplifying
t = -2