7(2t+1)-12=t-(t+4)

Solution for 7(2t+1)-12=t-(t+4) equation:

Simplifying
7(2t + 1) + -12 = t + -1(t + 4)

Reorder the terms:
7(1 + 2t) + -12 = t + -1(t + 4)
(1 * 7 + 2t * 7) + -12 = t + -1(t + 4)
(7 + 14t) + -12 = t + -1(t + 4)

Reorder the terms:
7 + -12 + 14t = t + -1(t + 4)

Combine like terms: 7 + -12 = -5
-5 + 14t = t + -1(t + 4)

Reorder the terms:
-5 + 14t = t + -1(4 + t)
-5 + 14t = t + (4 * -1 + t * -1)
-5 + 14t = t + (-4 + -1t)

Reorder the terms:
-5 + 14t = -4 + t + -1t

Combine like terms: t + -1t = 0
-5 + 14t = -4 + 0
-5 + 14t = -4

Solving
-5 + 14t = -4

Solving for variable 't'.

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

Add '5' to each side of the equation.
-5 + 5 + 14t = -4 + 5

Combine like terms: -5 + 5 = 0
0 + 14t = -4 + 5
14t = -4 + 5

Combine like terms: -4 + 5 = 1
14t = 1

Divide each side by '14'.
t = 0.07142857143

Simplifying
t = 0.07142857143