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

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


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

Reorder the terms:
6 + (-4 + 3t) + -4t = 4(t + -2)

Remove parenthesis around (-4 + 3t)
6 + -4 + 3t + -4t = 4(t + -2)

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

Combine like terms: 3t + -4t = -1t
2 + -1t = 4(t + -2)

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

Solving
2 + -1t = -8 + 4t

Solving for variable 't'.

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

Add '-4t' to each side of the equation.
2 + -1t + -4t = -8 + 4t + -4t

Combine like terms: -1t + -4t = -5t
2 + -5t = -8 + 4t + -4t

Combine like terms: 4t + -4t = 0
2 + -5t = -8 + 0
2 + -5t = -8

Add '-2' to each side of the equation.
2 + -2 + -5t = -8 + -2

Combine like terms: 2 + -2 = 0
0 + -5t = -8 + -2
-5t = -8 + -2

Combine like terms: -8 + -2 = -10
-5t = -10

Divide each side by '-5'.
t = 2

Simplifying
t = 2

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