2(3t+1)-7=t-(t+4)

Solution for 2(3t+1)-7=t-(t+4) equation:

Simplifying
2(3t + 1) + -7 = t + -1(t + 4)

Reorder the terms:
2(1 + 3t) + -7 = t + -1(t + 4)
(1 * 2 + 3t * 2) + -7 = t + -1(t + 4)
(2 + 6t) + -7 = t + -1(t + 4)

Reorder the terms:
2 + -7 + 6t = t + -1(t + 4)

Combine like terms: 2 + -7 = -5
-5 + 6t = t + -1(t + 4)

Reorder the terms:
-5 + 6t = t + -1(4 + t)
-5 + 6t = t + (4 * -1 + t * -1)
-5 + 6t = t + (-4 + -1t)

Reorder the terms:
-5 + 6t = -4 + t + -1t

Combine like terms: t + -1t = 0
-5 + 6t = -4 + 0
-5 + 6t = -4

Solving
-5 + 6t = -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 + 6t = -4 + 5

Combine like terms: -5 + 5 = 0
0 + 6t = -4 + 5
6t = -4 + 5

Combine like terms: -4 + 5 = 1
6t = 1

Divide each side by '6'.
t = 0.1666666667

Simplifying
t = 0.1666666667