0.5+0.2(x-24)=0.1(x+5)

Solution for 0.5+0.2(x-24)=0.1(x+5) equation:

Simplifying
0.5 + 0.2(x + -24) = 0.1(x + 5)

Reorder the terms:
0.5 + 0.2(-24 + x) = 0.1(x + 5)
0.5 + (-24 * 0.2 + x * 0.2) = 0.1(x + 5)
0.5 + (-4.8 + 0.2x) = 0.1(x + 5)

Combine like terms: 0.5 + -4.8 = -4.3
-4.3 + 0.2x = 0.1(x + 5)

Reorder the terms:
-4.3 + 0.2x = 0.1(5 + x)
-4.3 + 0.2x = (5 * 0.1 + x * 0.1)
-4.3 + 0.2x = (0.5 + 0.1x)

Solving
-4.3 + 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.
-4.3 + 0.2x + -0.1x = 0.5 + 0.1x + -0.1x

Combine like terms: 0.2x + -0.1x = 0.1x
-4.3 + 0.1x = 0.5 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
-4.3 + 0.1x = 0.5 + 0.0
-4.3 + 0.1x = 0.5

Add '4.3' to each side of the equation.
-4.3 + 4.3 + 0.1x = 0.5 + 4.3

Combine like terms: -4.3 + 4.3 = 0.0
0.0 + 0.1x = 0.5 + 4.3
0.1x = 0.5 + 4.3

Combine like terms: 0.5 + 4.3 = 4.8
0.1x = 4.8

Divide each side by '0.1'.
x = 48

Simplifying
x = 48