5+6(t-3)=3(t+1)+8

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Solution for 5+6(t-3)=3(t+1)+8 equation:


Simplifying
5 + 6(t + -3) = 3(t + 1) + 8

Reorder the terms:
5 + 6(-3 + t) = 3(t + 1) + 8
5 + (-3 * 6 + t * 6) = 3(t + 1) + 8
5 + (-18 + 6t) = 3(t + 1) + 8

Combine like terms: 5 + -18 = -13
-13 + 6t = 3(t + 1) + 8

Reorder the terms:
-13 + 6t = 3(1 + t) + 8
-13 + 6t = (1 * 3 + t * 3) + 8
-13 + 6t = (3 + 3t) + 8

Reorder the terms:
-13 + 6t = 3 + 8 + 3t

Combine like terms: 3 + 8 = 11
-13 + 6t = 11 + 3t

Solving
-13 + 6t = 11 + 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.
-13 + 6t + -3t = 11 + 3t + -3t

Combine like terms: 6t + -3t = 3t
-13 + 3t = 11 + 3t + -3t

Combine like terms: 3t + -3t = 0
-13 + 3t = 11 + 0
-13 + 3t = 11

Add '13' to each side of the equation.
-13 + 13 + 3t = 11 + 13

Combine like terms: -13 + 13 = 0
0 + 3t = 11 + 13
3t = 11 + 13

Combine like terms: 11 + 13 = 24
3t = 24

Divide each side by '3'.
t = 8

Simplifying
t = 8

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