3(t-6)-2(t-5)=11

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Solution for 3(t-6)-2(t-5)=11 equation: 


Simplifying
3(t + -6) + -2(t + -5) = 11

Reorder the terms:
3(-6 + t) + -2(t + -5) = 11
(-6 * 3 + t * 3) + -2(t + -5) = 11
(-18 + 3t) + -2(t + -5) = 11

Reorder the terms:
-18 + 3t + -2(-5 + t) = 11
-18 + 3t + (-5 * -2 + t * -2) = 11
-18 + 3t + (10 + -2t) = 11

Reorder the terms:
-18 + 10 + 3t + -2t = 11

Combine like terms: -18 + 10 = -8
-8 + 3t + -2t = 11

Combine like terms: 3t + -2t = 1t
-8 + 1t = 11

Solving
-8 + 1t = 11

Solving for variable 't'.

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

Add '8' to each side of the equation.
-8 + 8 + 1t = 11 + 8

Combine like terms: -8 + 8 = 0
0 + 1t = 11 + 8
1t = 11 + 8

Combine like terms: 11 + 8 = 19
1t = 19

Divide each side by '1'.
t = 19

Simplifying
t = 19

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