0.4(0.53x-4)=0.67x+0.6

Solution for 0.4(0.53x-4)=0.67x+0.6 equation:

Simplifying
0.4(0.53x + -4) = 0.67x + 0.6

Reorder the terms:
0.4(-4 + 0.53x) = 0.67x + 0.6
(-4 * 0.4 + 0.53x * 0.4) = 0.67x + 0.6
(-1.6 + 0.212x) = 0.67x + 0.6

Reorder the terms:
-1.6 + 0.212x = 0.6 + 0.67x

Solving
-1.6 + 0.212x = 0.6 + 0.67x

Solving for variable 'x'.

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

Add '-0.67x' to each side of the equation.
-1.6 + 0.212x + -0.67x = 0.6 + 0.67x + -0.67x

Combine like terms: 0.212x + -0.67x = -0.458x
-1.6 + -0.458x = 0.6 + 0.67x + -0.67x

Combine like terms: 0.67x + -0.67x = 0.00
-1.6 + -0.458x = 0.6 + 0.00
-1.6 + -0.458x = 0.6

Add '1.6' to each side of the equation.
-1.6 + 1.6 + -0.458x = 0.6 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + -0.458x = 0.6 + 1.6
-0.458x = 0.6 + 1.6

Combine like terms: 0.6 + 1.6 = 2.2
-0.458x = 2.2

Divide each side by '-0.458'.
x = -4.80349345

Simplifying
x = -4.80349345