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

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

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

Reorder the terms:
2(5 + t) + -7 = 3(t + -2)
(5 * 2 + t * 2) + -7 = 3(t + -2)
(10 + 2t) + -7 = 3(t + -2)

Reorder the terms:
10 + -7 + 2t = 3(t + -2)

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

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

Solving
3 + 2t = -6 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
3 + 2t + -3t = -6 + 3t + -3t

Combine like terms: 2t + -3t = -1t
3 + -1t = -6 + 3t + -3t

Combine like terms: 3t + -3t = 0
3 + -1t = -6 + 0
3 + -1t = -6

Add '-3' to each side of the equation.
3 + -3 + -1t = -6 + -3

Combine like terms: 3 + -3 = 0
0 + -1t = -6 + -3
-1t = -6 + -3

Combine like terms: -6 + -3 = -9
-1t = -9

Divide each side by '-1'.
t = 9

Simplifying
t = 9