6t+5(t-7)=3t+8(t-5)+1

Solution for 6t+5(t-7)=3t+8(t-5)+1 equation:

Simplifying
6t + 5(t + -7) = 3t + 8(t + -5) + 1

Reorder the terms:
6t + 5(-7 + t) = 3t + 8(t + -5) + 1
6t + (-7 * 5 + t * 5) = 3t + 8(t + -5) + 1
6t + (-35 + 5t) = 3t + 8(t + -5) + 1

Reorder the terms:
-35 + 6t + 5t = 3t + 8(t + -5) + 1

Combine like terms: 6t + 5t = 11t
-35 + 11t = 3t + 8(t + -5) + 1

Reorder the terms:
-35 + 11t = 3t + 8(-5 + t) + 1
-35 + 11t = 3t + (-5 * 8 + t * 8) + 1
-35 + 11t = 3t + (-40 + 8t) + 1

Reorder the terms:
-35 + 11t = -40 + 1 + 3t + 8t

Combine like terms: -40 + 1 = -39
-35 + 11t = -39 + 3t + 8t

Combine like terms: 3t + 8t = 11t
-35 + 11t = -39 + 11t

Add '-11t' to each side of the equation.
-35 + 11t + -11t = -39 + 11t + -11t

Combine like terms: 11t + -11t = 0
-35 + 0 = -39 + 11t + -11t
-35 = -39 + 11t + -11t

Combine like terms: 11t + -11t = 0
-35 = -39 + 0
-35 = -39

Solving
-35 = -39

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.