0.2(x-3)=4(0.2-0.1)

Solution for 0.2(x-3)=4(0.2-0.1) equation:

Simplifying
0.2(x + -3) = 4(0.2 + -0.1)

Reorder the terms:
0.2(-3 + x) = 4(0.2 + -0.1)
(-3 * 0.2 + x * 0.2) = 4(0.2 + -0.1)
(-0.6 + 0.2x) = 4(0.2 + -0.1)

Combine like terms: 0.2 + -0.1 = 0.1
-0.6 + 0.2x = 4(0.1)

Multiply 4 * 0.1
-0.6 + 0.2x = 0.4

Solving
-0.6 + 0.2x = 0.4

Solving for variable 'x'.

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

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 0.2x = 0.4 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 0.2x = 0.4 + 0.6
0.2x = 0.4 + 0.6

Combine like terms: 0.4 + 0.6 = 1
0.2x = 1

Divide each side by '0.2'.
x = 5

Simplifying
x = 5