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

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Solution for -5(t-2)-(t+1)=6 equation:


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

Reorder the terms:
-5(-2 + t) + -1(t + 1) = 6
(-2 * -5 + t * -5) + -1(t + 1) = 6
(10 + -5t) + -1(t + 1) = 6

Reorder the terms:
10 + -5t + -1(1 + t) = 6
10 + -5t + (1 * -1 + t * -1) = 6
10 + -5t + (-1 + -1t) = 6

Reorder the terms:
10 + -1 + -5t + -1t = 6

Combine like terms: 10 + -1 = 9
9 + -5t + -1t = 6

Combine like terms: -5t + -1t = -6t
9 + -6t = 6

Solving
9 + -6t = 6

Solving for variable 't'.

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

Add '-9' to each side of the equation.
9 + -9 + -6t = 6 + -9

Combine like terms: 9 + -9 = 0
0 + -6t = 6 + -9
-6t = 6 + -9

Combine like terms: 6 + -9 = -3
-6t = -3

Divide each side by '-6'.
t = 0.5

Simplifying
t = 0.5

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