0.4(x+6)+1.4(x-5)=

Solution for 0.4(x+6)+1.4(x-5)= equation:

Simplifying
0.4(x + 6) + 1.4(x + -5) = 0

Reorder the terms:
0.4(6 + x) + 1.4(x + -5) = 0
(6 * 0.4 + x * 0.4) + 1.4(x + -5) = 0
(2.4 + 0.4x) + 1.4(x + -5) = 0

Reorder the terms:
2.4 + 0.4x + 1.4(-5 + x) = 0
2.4 + 0.4x + (-5 * 1.4 + x * 1.4) = 0
2.4 + 0.4x + (-7 + 1.4x) = 0

Reorder the terms:
2.4 + -7 + 0.4x + 1.4x = 0

Combine like terms: 2.4 + -7 = -4.6
-4.6 + 0.4x + 1.4x = 0

Combine like terms: 0.4x + 1.4x = 1.8x
-4.6 + 1.8x = 0

Solving
-4.6 + 1.8x = 0

Solving for variable 'x'.

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

Add '4.6' to each side of the equation.
-4.6 + 4.6 + 1.8x = 0 + 4.6

Combine like terms: -4.6 + 4.6 = 0.0
0.0 + 1.8x = 0 + 4.6
1.8x = 0 + 4.6

Combine like terms: 0 + 4.6 = 4.6
1.8x = 4.6

Divide each side by '1.8'.
x = 2.555555556

Simplifying
x = 2.555555556