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

Solution for 5.6(x-1)=-0.4x+42.4 equation:

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

Reorder the terms:
5.6(-1 + x) = -0.4x + 42.4
(-1 * 5.6 + x * 5.6) = -0.4x + 42.4
(-5.6 + 5.6x) = -0.4x + 42.4

Reorder the terms:
-5.6 + 5.6x = 42.4 + -0.4x

Solving
-5.6 + 5.6x = 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.
-5.6 + 5.6x + 0.4x = 42.4 + -0.4x + 0.4x

Combine like terms: 5.6x + 0.4x = 6x
-5.6 + 6x = 42.4 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-5.6 + 6x = 42.4 + 0.0
-5.6 + 6x = 42.4

Add '5.6' to each side of the equation.
-5.6 + 5.6 + 6x = 42.4 + 5.6

Combine like terms: -5.6 + 5.6 = 0.0
0.0 + 6x = 42.4 + 5.6
6x = 42.4 + 5.6

Combine like terms: 42.4 + 5.6 = 48
6x = 48

Divide each side by '6'.
x = 8

Simplifying
x = 8