-3(t+5)+10=3(1-t)-2t

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Solution for -3(t+5)+10=3(1-t)-2t equation:


Simplifying
-3(t + 5) + 10 = 3(1 + -1t) + -2t

Reorder the terms:
-3(5 + t) + 10 = 3(1 + -1t) + -2t
(5 * -3 + t * -3) + 10 = 3(1 + -1t) + -2t
(-15 + -3t) + 10 = 3(1 + -1t) + -2t

Reorder the terms:
-15 + 10 + -3t = 3(1 + -1t) + -2t

Combine like terms: -15 + 10 = -5
-5 + -3t = 3(1 + -1t) + -2t
-5 + -3t = (1 * 3 + -1t * 3) + -2t
-5 + -3t = (3 + -3t) + -2t

Combine like terms: -3t + -2t = -5t
-5 + -3t = 3 + -5t

Solving
-5 + -3t = 3 + -5t

Solving for variable 't'.

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

Add '5t' to each side of the equation.
-5 + -3t + 5t = 3 + -5t + 5t

Combine like terms: -3t + 5t = 2t
-5 + 2t = 3 + -5t + 5t

Combine like terms: -5t + 5t = 0
-5 + 2t = 3 + 0
-5 + 2t = 3

Add '5' to each side of the equation.
-5 + 5 + 2t = 3 + 5

Combine like terms: -5 + 5 = 0
0 + 2t = 3 + 5
2t = 3 + 5

Combine like terms: 3 + 5 = 8
2t = 8

Divide each side by '2'.
t = 4

Simplifying
t = 4

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