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

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

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

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

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

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

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

Solving
6 + 6x = 4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + 6x + -2x = 4 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
6 + 4x = 4 + 0
6 + 4x = 4

Add '-6' to each side of the equation.
6 + -6 + 4x = 4 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 4 + -6
4x = 4 + -6

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

Divide each side by '4'.
x = -0.5

Simplifying
x = -0.5