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

Solution for 2(3t-4)-6(t+1)=-t+4(t+10) equation:

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

Reorder the terms:
2(-4 + 3t) + -6(t + 1) = -1t + 4(t + 10)
(-4 * 2 + 3t * 2) + -6(t + 1) = -1t + 4(t + 10)
(-8 + 6t) + -6(t + 1) = -1t + 4(t + 10)

Reorder the terms:
-8 + 6t + -6(1 + t) = -1t + 4(t + 10)
-8 + 6t + (1 * -6 + t * -6) = -1t + 4(t + 10)
-8 + 6t + (-6 + -6t) = -1t + 4(t + 10)

Reorder the terms:
-8 + -6 + 6t + -6t = -1t + 4(t + 10)

Combine like terms: -8 + -6 = -14
-14 + 6t + -6t = -1t + 4(t + 10)

Combine like terms: 6t + -6t = 0
-14 + 0 = -1t + 4(t + 10)
-14 = -1t + 4(t + 10)

Reorder the terms:
-14 = -1t + 4(10 + t)
-14 = -1t + (10 * 4 + t * 4)
-14 = -1t + (40 + 4t)

Reorder the terms:
-14 = 40 + -1t + 4t

Combine like terms: -1t + 4t = 3t
-14 = 40 + 3t

Solving
-14 = 40 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
-14 + -3t = 40 + 3t + -3t

Combine like terms: 3t + -3t = 0
-14 + -3t = 40 + 0
-14 + -3t = 40

Add '14' to each side of the equation.
-14 + 14 + -3t = 40 + 14

Combine like terms: -14 + 14 = 0
0 + -3t = 40 + 14
-3t = 40 + 14

Combine like terms: 40 + 14 = 54
-3t = 54

Divide each side by '-3'.
t = -18

Simplifying
t = -18