3(5t+1)-15=t-(t+11)

Solution for 3(5t+1)-15=t-(t+11) equation:

Simplifying
3(5t + 1) + -15 = t + -1(t + 11)

Reorder the terms:
3(1 + 5t) + -15 = t + -1(t + 11)
(1 * 3 + 5t * 3) + -15 = t + -1(t + 11)
(3 + 15t) + -15 = t + -1(t + 11)

Reorder the terms:
3 + -15 + 15t = t + -1(t + 11)

Combine like terms: 3 + -15 = -12
-12 + 15t = t + -1(t + 11)

Reorder the terms:
-12 + 15t = t + -1(11 + t)
-12 + 15t = t + (11 * -1 + t * -1)
-12 + 15t = t + (-11 + -1t)

Reorder the terms:
-12 + 15t = -11 + t + -1t

Combine like terms: t + -1t = 0
-12 + 15t = -11 + 0
-12 + 15t = -11

Solving
-12 + 15t = -11

Solving for variable 't'.

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

Add '12' to each side of the equation.
-12 + 12 + 15t = -11 + 12

Combine like terms: -12 + 12 = 0
0 + 15t = -11 + 12
15t = -11 + 12

Combine like terms: -11 + 12 = 1
15t = 1

Divide each side by '15'.
t = 0.06666666667

Simplifying
t = 0.06666666667