2(10+3t)=4(t-16)

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Solution for 2(10+3t)=4(t-16) equation: 


Simplifying
2(10 + 3t) = 4(t + -16)
(10 * 2 + 3t * 2) = 4(t + -16)
(20 + 6t) = 4(t + -16)

Reorder the terms:
20 + 6t = 4(-16 + t)
20 + 6t = (-16 * 4 + t * 4)
20 + 6t = (-64 + 4t)

Solving
20 + 6t = -64 + 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.
20 + 6t + -4t = -64 + 4t + -4t

Combine like terms: 6t + -4t = 2t
20 + 2t = -64 + 4t + -4t

Combine like terms: 4t + -4t = 0
20 + 2t = -64 + 0
20 + 2t = -64

Add '-20' to each side of the equation.
20 + -20 + 2t = -64 + -20

Combine like terms: 20 + -20 = 0
0 + 2t = -64 + -20
2t = -64 + -20

Combine like terms: -64 + -20 = -84
2t = -84

Divide each side by '2'.
t = -42

Simplifying
t = -42

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