3(5t+1)-13=t-(t+9)

Solution for 3(5t+1)-13=t-(t+9) equation:

Simplifying
3(5t + 1) + -13 = t + -1(t + 9)

Reorder the terms:
3(1 + 5t) + -13 = t + -1(t + 9)
(1 * 3 + 5t * 3) + -13 = t + -1(t + 9)
(3 + 15t) + -13 = t + -1(t + 9)

Reorder the terms:
3 + -13 + 15t = t + -1(t + 9)

Combine like terms: 3 + -13 = -10
-10 + 15t = t + -1(t + 9)

Reorder the terms:
-10 + 15t = t + -1(9 + t)
-10 + 15t = t + (9 * -1 + t * -1)
-10 + 15t = t + (-9 + -1t)

Reorder the terms:
-10 + 15t = -9 + t + -1t

Combine like terms: t + -1t = 0
-10 + 15t = -9 + 0
-10 + 15t = -9

Solving
-10 + 15t = -9

Solving for variable 't'.

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

Add '10' to each side of the equation.
-10 + 10 + 15t = -9 + 10

Combine like terms: -10 + 10 = 0
0 + 15t = -9 + 10
15t = -9 + 10

Combine like terms: -9 + 10 = 1
15t = 1

Divide each side by '15'.
t = 0.06666666667

Simplifying
t = 0.06666666667