6+x=3(2x-7)

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

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

Reorder the terms:
6 + x = 3(-7 + 2x)
6 + x = (-7 * 3 + 2x * 3)
6 + x = (-21 + 6x)

Solving
6 + x = -21 + 6x

Solving for variable 'x'.

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

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

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

Combine like terms: 6x + -6x = 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 = -27
-5x = -27

Divide each side by '-5'.
x = 5.4

Simplifying
x = 5.4