10(t-1)=5(t+8)-t

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Solution for 10(t-1)=5(t+8)-t equation:


Simplifying
10(t + -1) = 5(t + 8) + -1t

Reorder the terms:
10(-1 + t) = 5(t + 8) + -1t
(-1 * 10 + t * 10) = 5(t + 8) + -1t
(-10 + 10t) = 5(t + 8) + -1t

Reorder the terms:
-10 + 10t = 5(8 + t) + -1t
-10 + 10t = (8 * 5 + t * 5) + -1t
-10 + 10t = (40 + 5t) + -1t

Combine like terms: 5t + -1t = 4t
-10 + 10t = 40 + 4t

Solving
-10 + 10t = 40 + 4t

Solving for variable 't'.

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

Add '-4t' to each side of the equation.
-10 + 10t + -4t = 40 + 4t + -4t

Combine like terms: 10t + -4t = 6t
-10 + 6t = 40 + 4t + -4t

Combine like terms: 4t + -4t = 0
-10 + 6t = 40 + 0
-10 + 6t = 40

Add '10' to each side of the equation.
-10 + 10 + 6t = 40 + 10

Combine like terms: -10 + 10 = 0
0 + 6t = 40 + 10
6t = 40 + 10

Combine like terms: 40 + 10 = 50
6t = 50

Divide each side by '6'.
t = 8.333333333

Simplifying
t = 8.333333333

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