3(4t+1)-2(5t-2)=25

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Solution for 3(4t+1)-2(5t-2)=25 equation:


Simplifying
3(4t + 1) + -2(5t + -2) = 25

Reorder the terms:
3(1 + 4t) + -2(5t + -2) = 25
(1 * 3 + 4t * 3) + -2(5t + -2) = 25
(3 + 12t) + -2(5t + -2) = 25

Reorder the terms:
3 + 12t + -2(-2 + 5t) = 25
3 + 12t + (-2 * -2 + 5t * -2) = 25
3 + 12t + (4 + -10t) = 25

Reorder the terms:
3 + 4 + 12t + -10t = 25

Combine like terms: 3 + 4 = 7
7 + 12t + -10t = 25

Combine like terms: 12t + -10t = 2t
7 + 2t = 25

Solving
7 + 2t = 25

Solving for variable 't'.

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

Add '-7' to each side of the equation.
7 + -7 + 2t = 25 + -7

Combine like terms: 7 + -7 = 0
0 + 2t = 25 + -7
2t = 25 + -7

Combine like terms: 25 + -7 = 18
2t = 18

Divide each side by '2'.
t = 9

Simplifying
t = 9

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