4-3(t-2)+t=5(t-1)-7t

Solution for 4-3(t-2)+t=5(t-1)-7t equation:

Simplifying
4 + -3(t + -2) + t = 5(t + -1) + -7t

Reorder the terms:
4 + -3(-2 + t) + t = 5(t + -1) + -7t
4 + (-2 * -3 + t * -3) + t = 5(t + -1) + -7t
4 + (6 + -3t) + t = 5(t + -1) + -7t

Combine like terms: 4 + 6 = 10
10 + -3t + t = 5(t + -1) + -7t

Combine like terms: -3t + t = -2t
10 + -2t = 5(t + -1) + -7t

Reorder the terms:
10 + -2t = 5(-1 + t) + -7t
10 + -2t = (-1 * 5 + t * 5) + -7t
10 + -2t = (-5 + 5t) + -7t

Combine like terms: 5t + -7t = -2t
10 + -2t = -5 + -2t

Add '2t' to each side of the equation.
10 + -2t + 2t = -5 + -2t + 2t

Combine like terms: -2t + 2t = 0
10 + 0 = -5 + -2t + 2t
10 = -5 + -2t + 2t

Combine like terms: -2t + 2t = 0
10 = -5 + 0
10 = -5

Solving
10 = -5

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.