5t-3(2-7t)+12=3t-(2+t)

Solution for 5t-3(2-7t)+12=3t-(2+t) equation:

Simplifying
5t + -3(2 + -7t) + 12 = 3t + -1(2 + t)
5t + (2 * -3 + -7t * -3) + 12 = 3t + -1(2 + t)
5t + (-6 + 21t) + 12 = 3t + -1(2 + t)

Reorder the terms:
-6 + 12 + 5t + 21t = 3t + -1(2 + t)

Combine like terms: -6 + 12 = 6
6 + 5t + 21t = 3t + -1(2 + t)

Combine like terms: 5t + 21t = 26t
6 + 26t = 3t + -1(2 + t)
6 + 26t = 3t + (2 * -1 + t * -1)
6 + 26t = 3t + (-2 + -1t)

Reorder the terms:
6 + 26t = -2 + 3t + -1t

Combine like terms: 3t + -1t = 2t
6 + 26t = -2 + 2t

Solving
6 + 26t = -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 + 26t + -2t = -2 + 2t + -2t

Combine like terms: 26t + -2t = 24t
6 + 24t = -2 + 2t + -2t

Combine like terms: 2t + -2t = 0
6 + 24t = -2 + 0
6 + 24t = -2

Add '-6' to each side of the equation.
6 + -6 + 24t = -2 + -6

Combine like terms: 6 + -6 = 0
0 + 24t = -2 + -6
24t = -2 + -6

Combine like terms: -2 + -6 = -8
24t = -8

Divide each side by '24'.
t = -0.3333333333

Simplifying
t = -0.3333333333