5(3t+1)-10=t-(t+4)

Solution for 5(3t+1)-10=t-(t+4) equation:

Simplifying
5(3t + 1) + -10 = t + -1(t + 4)

Reorder the terms:
5(1 + 3t) + -10 = t + -1(t + 4)
(1 * 5 + 3t * 5) + -10 = t + -1(t + 4)
(5 + 15t) + -10 = t + -1(t + 4)

Reorder the terms:
5 + -10 + 15t = t + -1(t + 4)

Combine like terms: 5 + -10 = -5
-5 + 15t = t + -1(t + 4)

Reorder the terms:
-5 + 15t = t + -1(4 + t)
-5 + 15t = t + (4 * -1 + t * -1)
-5 + 15t = t + (-4 + -1t)

Reorder the terms:
-5 + 15t = -4 + t + -1t

Combine like terms: t + -1t = 0
-5 + 15t = -4 + 0
-5 + 15t = -4

Solving
-5 + 15t = -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 + 15t = -4 + 5

Combine like terms: -5 + 5 = 0
0 + 15t = -4 + 5
15t = -4 + 5

Combine like terms: -4 + 5 = 1
15t = 1

Divide each side by '15'.
t = 0.06666666667

Simplifying
t = 0.06666666667