6+2x=3(7-x)

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

Simplifying
6 + 2x = 3(7 + -1x)
6 + 2x = (7 * 3 + -1x * 3)
6 + 2x = (21 + -3x)

Solving
6 + 2x = 21 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
6 + 2x + 3x = 21 + -3x + 3x

Combine like terms: 2x + 3x = 5x
6 + 5x = 21 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 + 5x = 21 + 0
6 + 5x = 21

Add '-6' to each side of the equation.
6 + -6 + 5x = 21 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = 21 + -6
5x = 21 + -6

Combine like terms: 21 + -6 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3