6(3t-4)-10=5(t-2-(3t+4))

Solution for 6(3t-4)-10=5(t-2-(3t+4)) equation:

Simplifying
6(3t + -4) + -10 = 5(t + -2 + -1(3t + 4))

Reorder the terms:
6(-4 + 3t) + -10 = 5(t + -2 + -1(3t + 4))
(-4 * 6 + 3t * 6) + -10 = 5(t + -2 + -1(3t + 4))
(-24 + 18t) + -10 = 5(t + -2 + -1(3t + 4))

Reorder the terms:
-24 + -10 + 18t = 5(t + -2 + -1(3t + 4))

Combine like terms: -24 + -10 = -34
-34 + 18t = 5(t + -2 + -1(3t + 4))

Reorder the terms:
-34 + 18t = 5(t + -2 + -1(4 + 3t))
-34 + 18t = 5(t + -2 + (4 * -1 + 3t * -1))
-34 + 18t = 5(t + -2 + (-4 + -3t))

Reorder the terms:
-34 + 18t = 5(-2 + -4 + t + -3t)

Combine like terms: -2 + -4 = -6
-34 + 18t = 5(-6 + t + -3t)

Combine like terms: t + -3t = -2t
-34 + 18t = 5(-6 + -2t)
-34 + 18t = (-6 * 5 + -2t * 5)
-34 + 18t = (-30 + -10t)

Solving
-34 + 18t = -30 + -10t

Solving for variable 't'.

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

Add '10t' to each side of the equation.
-34 + 18t + 10t = -30 + -10t + 10t

Combine like terms: 18t + 10t = 28t
-34 + 28t = -30 + -10t + 10t

Combine like terms: -10t + 10t = 0
-34 + 28t = -30 + 0
-34 + 28t = -30

Add '34' to each side of the equation.
-34 + 34 + 28t = -30 + 34

Combine like terms: -34 + 34 = 0
0 + 28t = -30 + 34
28t = -30 + 34

Combine like terms: -30 + 34 = 4
28t = 4

Divide each side by '28'.
t = 0.1428571429

Simplifying
t = 0.1428571429