7(t-3)+5t=(2t+2)-8

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Solution for 7(t-3)+5t=(2t+2)-8 equation:


Simplifying
7(t + -3) + 5t = (2t + 2) + -8

Reorder the terms:
7(-3 + t) + 5t = (2t + 2) + -8
(-3 * 7 + t * 7) + 5t = (2t + 2) + -8
(-21 + 7t) + 5t = (2t + 2) + -8

Combine like terms: 7t + 5t = 12t
-21 + 12t = (2t + 2) + -8

Reorder the terms:
-21 + 12t = (2 + 2t) + -8

Remove parenthesis around (2 + 2t)
-21 + 12t = 2 + 2t + -8

Reorder the terms:
-21 + 12t = 2 + -8 + 2t

Combine like terms: 2 + -8 = -6
-21 + 12t = -6 + 2t

Solving
-21 + 12t = -6 + 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
-21 + 12t + -2t = -6 + 2t + -2t

Combine like terms: 12t + -2t = 10t
-21 + 10t = -6 + 2t + -2t

Combine like terms: 2t + -2t = 0
-21 + 10t = -6 + 0
-21 + 10t = -6

Add '21' to each side of the equation.
-21 + 21 + 10t = -6 + 21

Combine like terms: -21 + 21 = 0
0 + 10t = -6 + 21
10t = -6 + 21

Combine like terms: -6 + 21 = 15
10t = 15

Divide each side by '10'.
t = 1.5

Simplifying
t = 1.5

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