2.36-0.2(x+0.8)=x+.5(0.4x-1.2)

Solution for 2.36-0.2(x+0.8)=x+.5(0.4x-1.2) equation:

Simplifying
2.36 + -0.2(x + 0.8) = x + 0.5(0.4x + -1.2)

Reorder the terms:
2.36 + -0.2(0.8 + x) = x + 0.5(0.4x + -1.2)
2.36 + (0.8 * -0.2 + x * -0.2) = x + 0.5(0.4x + -1.2)
2.36 + (-0.16 + -0.2x) = x + 0.5(0.4x + -1.2)

Combine like terms: 2.36 + -0.16 = 2.2
2.2 + -0.2x = x + 0.5(0.4x + -1.2)

Reorder the terms:
2.2 + -0.2x = x + 0.5(-1.2 + 0.4x)
2.2 + -0.2x = x + (-1.2 * 0.5 + 0.4x * 0.5)
2.2 + -0.2x = x + (-0.6 + 0.2x)

Reorder the terms:
2.2 + -0.2x = -0.6 + x + 0.2x

Combine like terms: x + 0.2x = 1.2x
2.2 + -0.2x = -0.6 + 1.2x

Solving
2.2 + -0.2x = -0.6 + 1.2x

Solving for variable 'x'.

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

Add '-1.2x' to each side of the equation.
2.2 + -0.2x + -1.2x = -0.6 + 1.2x + -1.2x

Combine like terms: -0.2x + -1.2x = -1.4x
2.2 + -1.4x = -0.6 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
2.2 + -1.4x = -0.6 + 0.0
2.2 + -1.4x = -0.6

Add '-2.2' to each side of the equation.
2.2 + -2.2 + -1.4x = -0.6 + -2.2

Combine like terms: 2.2 + -2.2 = 0.0
0.0 + -1.4x = -0.6 + -2.2
-1.4x = -0.6 + -2.2

Combine like terms: -0.6 + -2.2 = -2.8
-1.4x = -2.8

Divide each side by '-1.4'.
x = 2

Simplifying
x = 2