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

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

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

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

Reorder the terms:
6 + 3x + 2(4 + x) = 4
6 + 3x + (4 * 2 + x * 2) = 4
6 + 3x + (8 + 2x) = 4

Reorder the terms:
6 + 8 + 3x + 2x = 4

Combine like terms: 6 + 8 = 14
14 + 3x + 2x = 4

Combine like terms: 3x + 2x = 5x
14 + 5x = 4

Solving
14 + 5x = 4

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + 5x = 4 + -14

Combine like terms: 14 + -14 = 0
0 + 5x = 4 + -14
5x = 4 + -14

Combine like terms: 4 + -14 = -10
5x = -10

Divide each side by '5'.
x = -2

Simplifying
x = -2