0.4-5=0.1(x+10)

Solution for 0.4-5=0.1(x+10) equation:

Simplifying
0.4 + -5 = 0.1(x + 10)

Combine like terms: 0.4 + -5 = -4.6
-4.6 = 0.1(x + 10)

Reorder the terms:
-4.6 = 0.1(10 + x)
-4.6 = (10 * 0.1 + x * 0.1)
-4.6 = (1 + 0.1x)

Solving
-4.6 = 1 + 0.1x

Solving for variable 'x'.

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

Add '-0.1x' to each side of the equation.
-4.6 + -0.1x = 1 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
-4.6 + -0.1x = 1 + 0.0
-4.6 + -0.1x = 1

Add '4.6' to each side of the equation.
-4.6 + 4.6 + -0.1x = 1 + 4.6

Combine like terms: -4.6 + 4.6 = 0.0
0.0 + -0.1x = 1 + 4.6
-0.1x = 1 + 4.6

Combine like terms: 1 + 4.6 = 5.6
-0.1x = 5.6

Divide each side by '-0.1'.
x = -56

Simplifying
x = -56