3(2t+7)=5(t-3)+25

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Solution for 3(2t+7)=5(t-3)+25 equation:


Simplifying
3(2t + 7) = 5(t + -3) + 25

Reorder the terms:
3(7 + 2t) = 5(t + -3) + 25
(7 * 3 + 2t * 3) = 5(t + -3) + 25
(21 + 6t) = 5(t + -3) + 25

Reorder the terms:
21 + 6t = 5(-3 + t) + 25
21 + 6t = (-3 * 5 + t * 5) + 25
21 + 6t = (-15 + 5t) + 25

Reorder the terms:
21 + 6t = -15 + 25 + 5t

Combine like terms: -15 + 25 = 10
21 + 6t = 10 + 5t

Solving
21 + 6t = 10 + 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.
21 + 6t + -5t = 10 + 5t + -5t

Combine like terms: 6t + -5t = 1t
21 + 1t = 10 + 5t + -5t

Combine like terms: 5t + -5t = 0
21 + 1t = 10 + 0
21 + 1t = 10

Add '-21' to each side of the equation.
21 + -21 + 1t = 10 + -21

Combine like terms: 21 + -21 = 0
0 + 1t = 10 + -21
1t = 10 + -21

Combine like terms: 10 + -21 = -11
1t = -11

Divide each side by '1'.
t = -11

Simplifying
t = -11

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