6=3x+2(-7x)

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

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

Remove parenthesis around (-7x)
6 = 3x + 2 * -7x

Multiply 2 * -7
6 = 3x + -14x

Combine like terms: 3x + -14x = -11x
6 = -11x

Solving
6 = -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
6 + 11x = -11x + 11x

Combine like terms: -11x + 11x = 0
6 + 11x = 0

Add '-6' to each side of the equation.
6 + -6 + 11x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 11x = 0 + -6
11x = 0 + -6

Combine like terms: 0 + -6 = -6
11x = -6

Divide each side by '11'.
x = -0.5454545455

Simplifying
x = -0.5454545455