0.6(x-9)=0.2(23-2x)

Solution for 0.6(x-9)=0.2(23-2x) equation:

Simplifying
0.6(x + -9) = 0.2(23 + -2x)

Reorder the terms:
0.6(-9 + x) = 0.2(23 + -2x)
(-9 * 0.6 + x * 0.6) = 0.2(23 + -2x)
(-5.4 + 0.6x) = 0.2(23 + -2x)
-5.4 + 0.6x = (23 * 0.2 + -2x * 0.2)
-5.4 + 0.6x = (4.6 + -0.4x)

Solving
-5.4 + 0.6x = 4.6 + -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.
-5.4 + 0.6x + 0.4x = 4.6 + -0.4x + 0.4x

Combine like terms: 0.6x + 0.4x = 1x
-5.4 + 1x = 4.6 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-5.4 + 1x = 4.6 + 0.0
-5.4 + 1x = 4.6

Add '5.4' to each side of the equation.
-5.4 + 5.4 + 1x = 4.6 + 5.4

Combine like terms: -5.4 + 5.4 = 0.0
0.0 + 1x = 4.6 + 5.4
1x = 4.6 + 5.4

Combine like terms: 4.6 + 5.4 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10