2(x+3)+3(7-2x)=55

Solution for 2(x+3)+3(7-2x)=55 equation:

Simplifying
2(x + 3) + 3(7 + -2x) = 55

Reorder the terms:
2(3 + x) + 3(7 + -2x) = 55
(3 * 2 + x * 2) + 3(7 + -2x) = 55
(6 + 2x) + 3(7 + -2x) = 55
6 + 2x + (7 * 3 + -2x * 3) = 55
6 + 2x + (21 + -6x) = 55

Reorder the terms:
6 + 21 + 2x + -6x = 55

Combine like terms: 6 + 21 = 27
27 + 2x + -6x = 55

Combine like terms: 2x + -6x = -4x
27 + -4x = 55

Solving
27 + -4x = 55

Solving for variable 'x'.

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

Add '-27' to each side of the equation.
27 + -27 + -4x = 55 + -27

Combine like terms: 27 + -27 = 0
0 + -4x = 55 + -27
-4x = 55 + -27

Combine like terms: 55 + -27 = 28
-4x = 28

Divide each side by '-4'.
x = -7

Simplifying
x = -7