6x+2(x+3)=2(x+7)

Solution for 6x+2(x+3)=2(x+7) equation:

Simplifying
6x + 2(x + 3) = 2(x + 7)

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

Reorder the terms:
6 + 6x + 2x = 2(x + 7)

Combine like terms: 6x + 2x = 8x
6 + 8x = 2(x + 7)

Reorder the terms:
6 + 8x = 2(7 + x)
6 + 8x = (7 * 2 + x * 2)
6 + 8x = (14 + 2x)

Solving
6 + 8x = 14 + 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 + 8x + -2x = 14 + 2x + -2x

Combine like terms: 8x + -2x = 6x
6 + 6x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 6x = 14 + 0
6 + 6x = 14

Add '-6' to each side of the equation.
6 + -6 + 6x = 14 + -6

Combine like terms: 6 + -6 = 0
0 + 6x = 14 + -6
6x = 14 + -6

Combine like terms: 14 + -6 = 8
6x = 8

Divide each side by '6'.
x = 1.333333333

Simplifying
x = 1.333333333