2(t+5)-3=6t-13

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Solution for 2(t+5)-3=6t-13 equation: 


Simplifying
2(t + 5) + -3 = 6t + -13

Reorder the terms:
2(5 + t) + -3 = 6t + -13
(5 * 2 + t * 2) + -3 = 6t + -13
(10 + 2t) + -3 = 6t + -13

Reorder the terms:
10 + -3 + 2t = 6t + -13

Combine like terms: 10 + -3 = 7
7 + 2t = 6t + -13

Reorder the terms:
7 + 2t = -13 + 6t

Solving
7 + 2t = -13 + 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.
7 + 2t + -6t = -13 + 6t + -6t

Combine like terms: 2t + -6t = -4t
7 + -4t = -13 + 6t + -6t

Combine like terms: 6t + -6t = 0
7 + -4t = -13 + 0
7 + -4t = -13

Add '-7' to each side of the equation.
7 + -7 + -4t = -13 + -7

Combine like terms: 7 + -7 = 0
0 + -4t = -13 + -7
-4t = -13 + -7

Combine like terms: -13 + -7 = -20
-4t = -20

Divide each side by '-4'.
t = 5

Simplifying
t = 5

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