-7(x-6)+7(2t+5)=6(t+7)+5

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Solution for -7(x-6)+7(2t+5)=6(t+7)+5 equation: 


Simplifying
-7(x + -6) + 7(2t + 5) = 6(t + 7) + 5

Reorder the terms:
-7(-6 + x) + 7(2t + 5) = 6(t + 7) + 5
(-6 * -7 + x * -7) + 7(2t + 5) = 6(t + 7) + 5
(42 + -7x) + 7(2t + 5) = 6(t + 7) + 5

Reorder the terms:
42 + -7x + 7(5 + 2t) = 6(t + 7) + 5
42 + -7x + (5 * 7 + 2t * 7) = 6(t + 7) + 5
42 + -7x + (35 + 14t) = 6(t + 7) + 5

Reorder the terms:
42 + 35 + 14t + -7x = 6(t + 7) + 5

Combine like terms: 42 + 35 = 77
77 + 14t + -7x = 6(t + 7) + 5

Reorder the terms:
77 + 14t + -7x = 6(7 + t) + 5
77 + 14t + -7x = (7 * 6 + t * 6) + 5
77 + 14t + -7x = (42 + 6t) + 5

Reorder the terms:
77 + 14t + -7x = 42 + 5 + 6t

Combine like terms: 42 + 5 = 47
77 + 14t + -7x = 47 + 6t

Solving
77 + 14t + -7x = 47 + 6t

Solving for variable 't'.

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

Add '-6t' to each side of the equation.
77 + 14t + -6t + -7x = 47 + 6t + -6t

Combine like terms: 14t + -6t = 8t
77 + 8t + -7x = 47 + 6t + -6t

Combine like terms: 6t + -6t = 0
77 + 8t + -7x = 47 + 0
77 + 8t + -7x = 47

Add '-77' to each side of the equation.
77 + 8t + -77 + -7x = 47 + -77

Reorder the terms:
77 + -77 + 8t + -7x = 47 + -77

Combine like terms: 77 + -77 = 0
0 + 8t + -7x = 47 + -77
8t + -7x = 47 + -77

Combine like terms: 47 + -77 = -30
8t + -7x = -30

Add '7x' to each side of the equation.
8t + -7x + 7x = -30 + 7x

Combine like terms: -7x + 7x = 0
8t + 0 = -30 + 7x
8t = -30 + 7x

Divide each side by '8'.
t = -3.75 + 0.875x

Simplifying
t = -3.75 + 0.875x

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