6+9(t-7)=7(t+5)+2

Solution for 6+9(t-7)=7(t+5)+2 equation:

Simplifying
6 + 9(t + -7) = 7(t + 5) + 2

Reorder the terms:
6 + 9(-7 + t) = 7(t + 5) + 2
6 + (-7 * 9 + t * 9) = 7(t + 5) + 2
6 + (-63 + 9t) = 7(t + 5) + 2

Combine like terms: 6 + -63 = -57
-57 + 9t = 7(t + 5) + 2

Reorder the terms:
-57 + 9t = 7(5 + t) + 2
-57 + 9t = (5 * 7 + t * 7) + 2
-57 + 9t = (35 + 7t) + 2

Reorder the terms:
-57 + 9t = 35 + 2 + 7t

Combine like terms: 35 + 2 = 37
-57 + 9t = 37 + 7t

Solving
-57 + 9t = 37 + 7t

Solving for variable 't'.

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

Add '-7t' to each side of the equation.
-57 + 9t + -7t = 37 + 7t + -7t

Combine like terms: 9t + -7t = 2t
-57 + 2t = 37 + 7t + -7t

Combine like terms: 7t + -7t = 0
-57 + 2t = 37 + 0
-57 + 2t = 37

Add '57' to each side of the equation.
-57 + 57 + 2t = 37 + 57

Combine like terms: -57 + 57 = 0
0 + 2t = 37 + 57
2t = 37 + 57

Combine like terms: 37 + 57 = 94
2t = 94

Divide each side by '2'.
t = 47

Simplifying
t = 47