.1(4)+x=.4(x+4)

Solution for .1(4)+x=.4(x+4) equation:

Simplifying
0.1(4) + x = 0.4(x + 4)

Multiply 0.1 * 4
0.4 + x = 0.4(x + 4)

Reorder the terms:
0.4 + x = 0.4(4 + x)
0.4 + x = (4 * 0.4 + x * 0.4)
0.4 + x = (1.6 + 0.4x)

Solving
0.4 + x = 1.6 + 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.
0.4 + x + -0.4x = 1.6 + 0.4x + -0.4x

Combine like terms: x + -0.4x = 0.6x
0.4 + 0.6x = 1.6 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
0.4 + 0.6x = 1.6 + 0.0
0.4 + 0.6x = 1.6

Add '-0.4' to each side of the equation.
0.4 + -0.4 + 0.6x = 1.6 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 0.6x = 1.6 + -0.4
0.6x = 1.6 + -0.4

Combine like terms: 1.6 + -0.4 = 1.2
0.6x = 1.2

Divide each side by '0.6'.
x = 2

Simplifying
x = 2