0.4(x+3)+1.4(x-2)=

Solution for 0.4(x+3)+1.4(x-2)= equation:

Simplifying
0.4(x + 3) + 1.4(x + -2) = 0

Reorder the terms:
0.4(3 + x) + 1.4(x + -2) = 0
(3 * 0.4 + x * 0.4) + 1.4(x + -2) = 0
(1.2 + 0.4x) + 1.4(x + -2) = 0

Reorder the terms:
1.2 + 0.4x + 1.4(-2 + x) = 0
1.2 + 0.4x + (-2 * 1.4 + x * 1.4) = 0
1.2 + 0.4x + (-2.8 + 1.4x) = 0

Reorder the terms:
1.2 + -2.8 + 0.4x + 1.4x = 0

Combine like terms: 1.2 + -2.8 = -1.6
-1.6 + 0.4x + 1.4x = 0

Combine like terms: 0.4x + 1.4x = 1.8x
-1.6 + 1.8x = 0

Solving
-1.6 + 1.8x = 0

Solving for variable 'x'.

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

Add '1.6' to each side of the equation.
-1.6 + 1.6 + 1.8x = 0 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + 1.8x = 0 + 1.6
1.8x = 0 + 1.6

Combine like terms: 0 + 1.6 = 1.6
1.8x = 1.6

Divide each side by '1.8'.
x = 0.8888888889

Simplifying
x = 0.8888888889