8(2-t)+6=-6(t-3)-6

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Solution for 8(2-t)+6=-6(t-3)-6 equation: 


Simplifying
8(2 + -1t) + 6 = -6(t + -3) + -6
(2 * 8 + -1t * 8) + 6 = -6(t + -3) + -6
(16 + -8t) + 6 = -6(t + -3) + -6

Reorder the terms:
16 + 6 + -8t = -6(t + -3) + -6

Combine like terms: 16 + 6 = 22
22 + -8t = -6(t + -3) + -6

Reorder the terms:
22 + -8t = -6(-3 + t) + -6
22 + -8t = (-3 * -6 + t * -6) + -6
22 + -8t = (18 + -6t) + -6

Reorder the terms:
22 + -8t = 18 + -6 + -6t

Combine like terms: 18 + -6 = 12
22 + -8t = 12 + -6t

Solving
22 + -8t = 12 + -6t

Solving for variable 't'.

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

Add '6t' to each side of the equation.
22 + -8t + 6t = 12 + -6t + 6t

Combine like terms: -8t + 6t = -2t
22 + -2t = 12 + -6t + 6t

Combine like terms: -6t + 6t = 0
22 + -2t = 12 + 0
22 + -2t = 12

Add '-22' to each side of the equation.
22 + -22 + -2t = 12 + -22

Combine like terms: 22 + -22 = 0
0 + -2t = 12 + -22
-2t = 12 + -22

Combine like terms: 12 + -22 = -10
-2t = -10

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

Simplifying
t = 5

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