5(t-13)+2(t-25)=11

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Solution for 5(t-13)+2(t-25)=11 equation: 


Simplifying
5(t + -13) + 2(t + -25) = 11

Reorder the terms:
5(-13 + t) + 2(t + -25) = 11
(-13 * 5 + t * 5) + 2(t + -25) = 11
(-65 + 5t) + 2(t + -25) = 11

Reorder the terms:
-65 + 5t + 2(-25 + t) = 11
-65 + 5t + (-25 * 2 + t * 2) = 11
-65 + 5t + (-50 + 2t) = 11

Reorder the terms:
-65 + -50 + 5t + 2t = 11

Combine like terms: -65 + -50 = -115
-115 + 5t + 2t = 11

Combine like terms: 5t + 2t = 7t
-115 + 7t = 11

Solving
-115 + 7t = 11

Solving for variable 't'.

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

Add '115' to each side of the equation.
-115 + 115 + 7t = 11 + 115

Combine like terms: -115 + 115 = 0
0 + 7t = 11 + 115
7t = 11 + 115

Combine like terms: 11 + 115 = 126
7t = 126

Divide each side by '7'.
t = 18

Simplifying
t = 18

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