5(t-4)+6(2-t)=5

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Solution for 5(t-4)+6(2-t)=5 equation: 


Simplifying
5(t + -4) + 6(2 + -1t) = 5

Reorder the terms:
5(-4 + t) + 6(2 + -1t) = 5
(-4 * 5 + t * 5) + 6(2 + -1t) = 5
(-20 + 5t) + 6(2 + -1t) = 5
-20 + 5t + (2 * 6 + -1t * 6) = 5
-20 + 5t + (12 + -6t) = 5

Reorder the terms:
-20 + 12 + 5t + -6t = 5

Combine like terms: -20 + 12 = -8
-8 + 5t + -6t = 5

Combine like terms: 5t + -6t = -1t
-8 + -1t = 5

Solving
-8 + -1t = 5

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 = 5 + 8

Combine like terms: -8 + 8 = 0
0 + -1t = 5 + 8
-1t = 5 + 8

Combine like terms: 5 + 8 = 13
-1t = 13

Divide each side by '-1'.
t = -13

Simplifying
t = -13

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