0.05x-1.6=0.2(x-5)

Solution for 0.05x-1.6=0.2(x-5) equation:

Simplifying
0.05x + -1.6 = 0.2(x + -5)

Reorder the terms:
-1.6 + 0.05x = 0.2(x + -5)

Reorder the terms:
-1.6 + 0.05x = 0.2(-5 + x)
-1.6 + 0.05x = (-5 * 0.2 + x * 0.2)
-1.6 + 0.05x = (-1 + 0.2x)

Solving
-1.6 + 0.05x = -1 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
-1.6 + 0.05x + -0.2x = -1 + 0.2x + -0.2x

Combine like terms: 0.05x + -0.2x = -0.15x
-1.6 + -0.15x = -1 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
-1.6 + -0.15x = -1 + 0.0
-1.6 + -0.15x = -1

Add '1.6' to each side of the equation.
-1.6 + 1.6 + -0.15x = -1 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + -0.15x = -1 + 1.6
-0.15x = -1 + 1.6

Combine like terms: -1 + 1.6 = 0.6
-0.15x = 0.6

Divide each side by '-0.15'.
x = -4

Simplifying
x = -4