0.42x+3-x+3=2

Solution for 0.42x+3-x+3=2 equation:

Simplifying
0.42x + 3 + -1x + 3 = 2

Reorder the terms:
3 + 3 + 0.42x + -1x = 2

Combine like terms: 3 + 3 = 6
6 + 0.42x + -1x = 2

Combine like terms: 0.42x + -1x = -0.58x
6 + -0.58x = 2

Solving
6 + -0.58x = 2

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -0.58x = 2 + -6

Combine like terms: 6 + -6 = 0
0 + -0.58x = 2 + -6
-0.58x = 2 + -6

Combine like terms: 2 + -6 = -4
-0.58x = -4

Divide each side by '-0.58'.
x = 6.896551724

Simplifying
x = 6.896551724