5(t+2)+2(t-1)=-2(t-1)+10(t+2)

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Solution for 5(t+2)+2(t-1)=-2(t-1)+10(t+2) equation: 


Simplifying
5(t + 2) + 2(t + -1) = -2(t + -1) + 10(t + 2)

Reorder the terms:
5(2 + t) + 2(t + -1) = -2(t + -1) + 10(t + 2)
(2 * 5 + t * 5) + 2(t + -1) = -2(t + -1) + 10(t + 2)
(10 + 5t) + 2(t + -1) = -2(t + -1) + 10(t + 2)

Reorder the terms:
10 + 5t + 2(-1 + t) = -2(t + -1) + 10(t + 2)
10 + 5t + (-1 * 2 + t * 2) = -2(t + -1) + 10(t + 2)
10 + 5t + (-2 + 2t) = -2(t + -1) + 10(t + 2)

Reorder the terms:
10 + -2 + 5t + 2t = -2(t + -1) + 10(t + 2)

Combine like terms: 10 + -2 = 8
8 + 5t + 2t = -2(t + -1) + 10(t + 2)

Combine like terms: 5t + 2t = 7t
8 + 7t = -2(t + -1) + 10(t + 2)

Reorder the terms:
8 + 7t = -2(-1 + t) + 10(t + 2)
8 + 7t = (-1 * -2 + t * -2) + 10(t + 2)
8 + 7t = (2 + -2t) + 10(t + 2)

Reorder the terms:
8 + 7t = 2 + -2t + 10(2 + t)
8 + 7t = 2 + -2t + (2 * 10 + t * 10)
8 + 7t = 2 + -2t + (20 + 10t)

Reorder the terms:
8 + 7t = 2 + 20 + -2t + 10t

Combine like terms: 2 + 20 = 22
8 + 7t = 22 + -2t + 10t

Combine like terms: -2t + 10t = 8t
8 + 7t = 22 + 8t

Solving
8 + 7t = 22 + 8t

Solving for variable 't'.

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

Add '-8t' to each side of the equation.
8 + 7t + -8t = 22 + 8t + -8t

Combine like terms: 7t + -8t = -1t
8 + -1t = 22 + 8t + -8t

Combine like terms: 8t + -8t = 0
8 + -1t = 22 + 0
8 + -1t = 22

Add '-8' to each side of the equation.
8 + -8 + -1t = 22 + -8

Combine like terms: 8 + -8 = 0
0 + -1t = 22 + -8
-1t = 22 + -8

Combine like terms: 22 + -8 = 14
-1t = 14

Divide each side by '-1'.
t = -14

Simplifying
t = -14

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