0.2(x-3)=0.1(x-5)

Solution for 0.2(x-3)=0.1(x-5) equation:

Simplifying
0.2(x + -3) = 0.1(x + -5)

Reorder the terms:
0.2(-3 + x) = 0.1(x + -5)
(-3 * 0.2 + x * 0.2) = 0.1(x + -5)
(-0.6 + 0.2x) = 0.1(x + -5)

Reorder the terms:
-0.6 + 0.2x = 0.1(-5 + x)
-0.6 + 0.2x = (-5 * 0.1 + x * 0.1)
-0.6 + 0.2x = (-0.5 + 0.1x)

Solving
-0.6 + 0.2x = -0.5 + 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.
-0.6 + 0.2x + -0.1x = -0.5 + 0.1x + -0.1x

Combine like terms: 0.2x + -0.1x = 0.1x
-0.6 + 0.1x = -0.5 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
-0.6 + 0.1x = -0.5 + 0.0
-0.6 + 0.1x = -0.5

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 0.1x = -0.5 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 0.1x = -0.5 + 0.6
0.1x = -0.5 + 0.6

Combine like terms: -0.5 + 0.6 = 0.1
0.1x = 0.1

Divide each side by '0.1'.
x = 1

Simplifying
x = 1