0.2(x+6)+1.2(x-5)=

Solution for 0.2(x+6)+1.2(x-5)= equation:

Simplifying
0.2(x + 6) + 1.2(x + -5) = 0

Reorder the terms:
0.2(6 + x) + 1.2(x + -5) = 0
(6 * 0.2 + x * 0.2) + 1.2(x + -5) = 0
(1.2 + 0.2x) + 1.2(x + -5) = 0

Reorder the terms:
1.2 + 0.2x + 1.2(-5 + x) = 0
1.2 + 0.2x + (-5 * 1.2 + x * 1.2) = 0
1.2 + 0.2x + (-6 + 1.2x) = 0

Reorder the terms:
1.2 + -6 + 0.2x + 1.2x = 0

Combine like terms: 1.2 + -6 = -4.8
-4.8 + 0.2x + 1.2x = 0

Combine like terms: 0.2x + 1.2x = 1.4x
-4.8 + 1.4x = 0

Solving
-4.8 + 1.4x = 0

Solving for variable 'x'.

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

Add '4.8' to each side of the equation.
-4.8 + 4.8 + 1.4x = 0 + 4.8

Combine like terms: -4.8 + 4.8 = 0.0
0.0 + 1.4x = 0 + 4.8
1.4x = 0 + 4.8

Combine like terms: 0 + 4.8 = 4.8
1.4x = 4.8

Divide each side by '1.4'.
x = 3.428571429

Simplifying
x = 3.428571429