5t+10(t+2)+25(t+3)=495

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Solution for 5t+10(t+2)+25(t+3)=495 equation: 


Simplifying
5t + 10(t + 2) + 25(t + 3) = 495

Reorder the terms:
5t + 10(2 + t) + 25(t + 3) = 495
5t + (2 * 10 + t * 10) + 25(t + 3) = 495
5t + (20 + 10t) + 25(t + 3) = 495

Reorder the terms:
5t + 20 + 10t + 25(3 + t) = 495
5t + 20 + 10t + (3 * 25 + t * 25) = 495
5t + 20 + 10t + (75 + 25t) = 495

Reorder the terms:
20 + 75 + 5t + 10t + 25t = 495

Combine like terms: 20 + 75 = 95
95 + 5t + 10t + 25t = 495

Combine like terms: 5t + 10t = 15t
95 + 15t + 25t = 495

Combine like terms: 15t + 25t = 40t
95 + 40t = 495

Solving
95 + 40t = 495

Solving for variable 't'.

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

Add '-95' to each side of the equation.
95 + -95 + 40t = 495 + -95

Combine like terms: 95 + -95 = 0
0 + 40t = 495 + -95
40t = 495 + -95

Combine like terms: 495 + -95 = 400
40t = 400

Divide each side by '40'.
t = 10

Simplifying
t = 10

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