t(3+2)-6(t-5)-22=6

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Solution for t(3+2)-6(t-5)-22=6 equation:


Simplifying
t(3 + 2) + -6(t + -5) + -22 = 6

Combine like terms: 3 + 2 = 5
t(5) + -6(t + -5) + -22 = 6

Reorder the terms for easier multiplication:
5t + -6(t + -5) + -22 = 6

Reorder the terms:
5t + -6(-5 + t) + -22 = 6
5t + (-5 * -6 + t * -6) + -22 = 6
5t + (30 + -6t) + -22 = 6

Reorder the terms:
30 + -22 + 5t + -6t = 6

Combine like terms: 30 + -22 = 8
8 + 5t + -6t = 6

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

Solving
8 + -1t = 6

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 = 6 + -8

Combine like terms: 8 + -8 = 0
0 + -1t = 6 + -8
-1t = 6 + -8

Combine like terms: 6 + -8 = -2
-1t = -2

Divide each side by '-1'.
t = 2

Simplifying
t = 2

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