2(x+3)+x=3(t+4)

Solution for 2(x+3)+x=3(t+4) equation:

Simplifying
2(x + 3) + x = 3(t + 4)

Reorder the terms:
2(3 + x) + x = 3(t + 4)
(3 * 2 + x * 2) + x = 3(t + 4)
(6 + 2x) + x = 3(t + 4)

Combine like terms: 2x + x = 3x
6 + 3x = 3(t + 4)

Reorder the terms:
6 + 3x = 3(4 + t)
6 + 3x = (4 * 3 + t * 3)
6 + 3x = (12 + 3t)

Solving
6 + 3x = 12 + 3t

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 3x = 12 + -6 + 3t

Combine like terms: 6 + -6 = 0
0 + 3x = 12 + -6 + 3t
3x = 12 + -6 + 3t

Combine like terms: 12 + -6 = 6
3x = 6 + 3t

Divide each side by '3'.
x = 2 + t

Simplifying
x = 2 + t