3(2t+25)-2(2t+5)=79

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Solution for 3(2t+25)-2(2t+5)=79 equation: 


Simplifying
3(2t + 25) + -2(2t + 5) = 79

Reorder the terms:
3(25 + 2t) + -2(2t + 5) = 79
(25 * 3 + 2t * 3) + -2(2t + 5) = 79
(75 + 6t) + -2(2t + 5) = 79

Reorder the terms:
75 + 6t + -2(5 + 2t) = 79
75 + 6t + (5 * -2 + 2t * -2) = 79
75 + 6t + (-10 + -4t) = 79

Reorder the terms:
75 + -10 + 6t + -4t = 79

Combine like terms: 75 + -10 = 65
65 + 6t + -4t = 79

Combine like terms: 6t + -4t = 2t
65 + 2t = 79

Solving
65 + 2t = 79

Solving for variable 't'.

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

Add '-65' to each side of the equation.
65 + -65 + 2t = 79 + -65

Combine like terms: 65 + -65 = 0
0 + 2t = 79 + -65
2t = 79 + -65

Combine like terms: 79 + -65 = 14
2t = 14

Divide each side by '2'.
t = 7

Simplifying
t = 7

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