0.8(x+0.375)=0.2(x+0.8)

Solution for 0.8(x+0.375)=0.2(x+0.8) equation:

Simplifying
0.8(x + 0.375) = 0.2(x + 0.8)

Reorder the terms:
0.8(0.375 + x) = 0.2(x + 0.8)
(0.375 * 0.8 + x * 0.8) = 0.2(x + 0.8)
(0.3 + 0.8x) = 0.2(x + 0.8)

Reorder the terms:
0.3 + 0.8x = 0.2(0.8 + x)
0.3 + 0.8x = (0.8 * 0.2 + x * 0.2)
0.3 + 0.8x = (0.16 + 0.2x)

Solving
0.3 + 0.8x = 0.16 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
0.3 + 0.8x + -0.2x = 0.16 + 0.2x + -0.2x

Combine like terms: 0.8x + -0.2x = 0.6x
0.3 + 0.6x = 0.16 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
0.3 + 0.6x = 0.16 + 0.0
0.3 + 0.6x = 0.16

Add '-0.3' to each side of the equation.
0.3 + -0.3 + 0.6x = 0.16 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + 0.6x = 0.16 + -0.3
0.6x = 0.16 + -0.3

Combine like terms: 0.16 + -0.3 = -0.14
0.6x = -0.14

Divide each side by '0.6'.
x = -0.2333333333

Simplifying
x = -0.2333333333