0.2(x-4)+1=0.15(x+2)

Solution for 0.2(x-4)+1=0.15(x+2) equation:

Simplifying
0.2(x + -4) + 1 = 0.15(x + 2)

Reorder the terms:
0.2(-4 + x) + 1 = 0.15(x + 2)
(-4 * 0.2 + x * 0.2) + 1 = 0.15(x + 2)
(-0.8 + 0.2x) + 1 = 0.15(x + 2)

Reorder the terms:
-0.8 + 1 + 0.2x = 0.15(x + 2)

Combine like terms: -0.8 + 1 = 0.2
0.2 + 0.2x = 0.15(x + 2)

Reorder the terms:
0.2 + 0.2x = 0.15(2 + x)
0.2 + 0.2x = (2 * 0.15 + x * 0.15)
0.2 + 0.2x = (0.3 + 0.15x)

Solving
0.2 + 0.2x = 0.3 + 0.15x

Solving for variable 'x'.

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

Add '-0.15x' to each side of the equation.
0.2 + 0.2x + -0.15x = 0.3 + 0.15x + -0.15x

Combine like terms: 0.2x + -0.15x = 0.05x
0.2 + 0.05x = 0.3 + 0.15x + -0.15x

Combine like terms: 0.15x + -0.15x = 0.00
0.2 + 0.05x = 0.3 + 0.00
0.2 + 0.05x = 0.3

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 0.05x = 0.3 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.05x = 0.3 + -0.2
0.05x = 0.3 + -0.2

Combine like terms: 0.3 + -0.2 = 0.1
0.05x = 0.1

Divide each side by '0.05'.
x = 2

Simplifying
x = 2