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

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

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

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

Combine like terms: 2t + -7t = -5t
-6 + -5t = 5(t + 2) + 4

Reorder the terms:
-6 + -5t = 5(2 + t) + 4
-6 + -5t = (2 * 5 + t * 5) + 4
-6 + -5t = (10 + 5t) + 4

Reorder the terms:
-6 + -5t = 10 + 4 + 5t

Combine like terms: 10 + 4 = 14
-6 + -5t = 14 + 5t

Solving
-6 + -5t = 14 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
-6 + -5t + -5t = 14 + 5t + -5t

Combine like terms: -5t + -5t = -10t
-6 + -10t = 14 + 5t + -5t

Combine like terms: 5t + -5t = 0
-6 + -10t = 14 + 0
-6 + -10t = 14

Add '6' to each side of the equation.
-6 + 6 + -10t = 14 + 6

Combine like terms: -6 + 6 = 0
0 + -10t = 14 + 6
-10t = 14 + 6

Combine like terms: 14 + 6 = 20
-10t = 20

Divide each side by '-10'.
t = -2

Simplifying
t = -2