0.6x+0.2(30)=0.5(x+10)

Solution for 0.6x+0.2(30)=0.5(x+10) equation:

Simplifying
0.6x + 0.2(30) = 0.5(x + 10)

Multiply 0.2 * 30
0.6x + 6 = 0.5(x + 10)

Reorder the terms:
6 + 0.6x = 0.5(x + 10)

Reorder the terms:
6 + 0.6x = 0.5(10 + x)
6 + 0.6x = (10 * 0.5 + x * 0.5)
6 + 0.6x = (5 + 0.5x)

Solving
6 + 0.6x = 5 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
6 + 0.6x + -0.5x = 5 + 0.5x + -0.5x

Combine like terms: 0.6x + -0.5x = 0.1x
6 + 0.1x = 5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
6 + 0.1x = 5 + 0.0
6 + 0.1x = 5

Add '-6' to each side of the equation.
6 + -6 + 0.1x = 5 + -6

Combine like terms: 6 + -6 = 0
0 + 0.1x = 5 + -6
0.1x = 5 + -6

Combine like terms: 5 + -6 = -1
0.1x = -1

Divide each side by '0.1'.
x = -10

Simplifying
x = -10