6(10t-7)+5t=41-5t

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Solution for 6(10t-7)+5t=41-5t equation:


Simplifying
6(10t + -7) + 5t = 41 + -5t

Reorder the terms:
6(-7 + 10t) + 5t = 41 + -5t
(-7 * 6 + 10t * 6) + 5t = 41 + -5t
(-42 + 60t) + 5t = 41 + -5t

Combine like terms: 60t + 5t = 65t
-42 + 65t = 41 + -5t

Solving
-42 + 65t = 41 + -5t

Solving for variable 't'.

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

Add '5t' to each side of the equation.
-42 + 65t + 5t = 41 + -5t + 5t

Combine like terms: 65t + 5t = 70t
-42 + 70t = 41 + -5t + 5t

Combine like terms: -5t + 5t = 0
-42 + 70t = 41 + 0
-42 + 70t = 41

Add '42' to each side of the equation.
-42 + 42 + 70t = 41 + 42

Combine like terms: -42 + 42 = 0
0 + 70t = 41 + 42
70t = 41 + 42

Combine like terms: 41 + 42 = 83
70t = 83

Divide each side by '70'.
t = 1.185714286

Simplifying
t = 1.185714286

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