4x+6=2(x+8)

Solution for 4x+6=2(x+8) equation:

Simplifying
4x + 6 = 2(x + 8)

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

Reorder the terms:
6 + 4x = 2(8 + x)
6 + 4x = (8 * 2 + x * 2)
6 + 4x = (16 + 2x)

Solving
6 + 4x = 16 + 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 + 4x + -2x = 16 + 2x + -2x

Combine like terms: 4x + -2x = 2x
6 + 2x = 16 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 2x = 16 + 0
6 + 2x = 16

Add '-6' to each side of the equation.
6 + -6 + 2x = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = 16 + -6
2x = 16 + -6

Combine like terms: 16 + -6 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5