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

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Solution for 3(2t-4)+6=-4-2(5t-1) equation:


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

Reorder the terms:
3(-4 + 2t) + 6 = -4 + -2(5t + -1)
(-4 * 3 + 2t * 3) + 6 = -4 + -2(5t + -1)
(-12 + 6t) + 6 = -4 + -2(5t + -1)

Reorder the terms:
-12 + 6 + 6t = -4 + -2(5t + -1)

Combine like terms: -12 + 6 = -6
-6 + 6t = -4 + -2(5t + -1)

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

Combine like terms: -4 + 2 = -2
-6 + 6t = -2 + -10t

Solving
-6 + 6t = -2 + -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.
-6 + 6t + 10t = -2 + -10t + 10t

Combine like terms: 6t + 10t = 16t
-6 + 16t = -2 + -10t + 10t

Combine like terms: -10t + 10t = 0
-6 + 16t = -2 + 0
-6 + 16t = -2

Add '6' to each side of the equation.
-6 + 6 + 16t = -2 + 6

Combine like terms: -6 + 6 = 0
0 + 16t = -2 + 6
16t = -2 + 6

Combine like terms: -2 + 6 = 4
16t = 4

Divide each side by '16'.
t = 0.25

Simplifying
t = 0.25

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