6(5-t)-(2-4t)=21

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Solution for 6(5-t)-(2-4t)=21 equation: 


Simplifying
6(5 + -1t) + -1(2 + -4t) = 21
(5 * 6 + -1t * 6) + -1(2 + -4t) = 21
(30 + -6t) + -1(2 + -4t) = 21
30 + -6t + (2 * -1 + -4t * -1) = 21
30 + -6t + (-2 + 4t) = 21

Reorder the terms:
30 + -2 + -6t + 4t = 21

Combine like terms: 30 + -2 = 28
28 + -6t + 4t = 21

Combine like terms: -6t + 4t = -2t
28 + -2t = 21

Solving
28 + -2t = 21

Solving for variable 't'.

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

Add '-28' to each side of the equation.
28 + -28 + -2t = 21 + -28

Combine like terms: 28 + -28 = 0
0 + -2t = 21 + -28
-2t = 21 + -28

Combine like terms: 21 + -28 = -7
-2t = -7

Divide each side by '-2'.
t = 3.5

Simplifying
t = 3.5

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