6.6(x-1)=-0.4x+42.4

Solution for 6.6(x-1)=-0.4x+42.4 equation:

Simplifying
6.6(x + -1) = -0.4x + 42.4

Reorder the terms:
6.6(-1 + x) = -0.4x + 42.4
(-1 * 6.6 + x * 6.6) = -0.4x + 42.4
(-6.6 + 6.6x) = -0.4x + 42.4

Reorder the terms:
-6.6 + 6.6x = 42.4 + -0.4x

Solving
-6.6 + 6.6x = 42.4 + -0.4x

Solving for variable 'x'.

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

Add '0.4x' to each side of the equation.
-6.6 + 6.6x + 0.4x = 42.4 + -0.4x + 0.4x

Combine like terms: 6.6x + 0.4x = 7x
-6.6 + 7x = 42.4 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-6.6 + 7x = 42.4 + 0.0
-6.6 + 7x = 42.4

Add '6.6' to each side of the equation.
-6.6 + 6.6 + 7x = 42.4 + 6.6

Combine like terms: -6.6 + 6.6 = 0.0
0.0 + 7x = 42.4 + 6.6
7x = 42.4 + 6.6

Combine like terms: 42.4 + 6.6 = 49
7x = 49

Divide each side by '7'.
x = 7

Simplifying
x = 7