9(t-7)-2(t-5)=10

Solution for 9(t-7)-2(t-5)=10 equation:

Simplifying
9(t + -7) + -2(t + -5) = 10

Reorder the terms:
9(-7 + t) + -2(t + -5) = 10
(-7 * 9 + t * 9) + -2(t + -5) = 10
(-63 + 9t) + -2(t + -5) = 10

Reorder the terms:
-63 + 9t + -2(-5 + t) = 10
-63 + 9t + (-5 * -2 + t * -2) = 10
-63 + 9t + (10 + -2t) = 10

Reorder the terms:
-63 + 10 + 9t + -2t = 10

Combine like terms: -63 + 10 = -53
-53 + 9t + -2t = 10

Combine like terms: 9t + -2t = 7t
-53 + 7t = 10

Solving
-53 + 7t = 10

Solving for variable 't'.

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

Add '53' to each side of the equation.
-53 + 53 + 7t = 10 + 53

Combine like terms: -53 + 53 = 0
0 + 7t = 10 + 53
7t = 10 + 53

Combine like terms: 10 + 53 = 63
7t = 63

Divide each side by '7'.
t = 9

Simplifying
t = 9