.8(x+3)+1.8(x-2)=

Solution for .8(x+3)+1.8(x-2)= equation:

Simplifying
0.8(x + 3) + 1.8(x + -2) = 0

Reorder the terms:
0.8(3 + x) + 1.8(x + -2) = 0
(3 * 0.8 + x * 0.8) + 1.8(x + -2) = 0
(2.4 + 0.8x) + 1.8(x + -2) = 0

Reorder the terms:
2.4 + 0.8x + 1.8(-2 + x) = 0
2.4 + 0.8x + (-2 * 1.8 + x * 1.8) = 0
2.4 + 0.8x + (-3.6 + 1.8x) = 0

Reorder the terms:
2.4 + -3.6 + 0.8x + 1.8x = 0

Combine like terms: 2.4 + -3.6 = -1.2
-1.2 + 0.8x + 1.8x = 0

Combine like terms: 0.8x + 1.8x = 2.6x
-1.2 + 2.6x = 0

Solving
-1.2 + 2.6x = 0

Solving for variable 'x'.

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

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 2.6x = 0 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 2.6x = 0 + 1.2
2.6x = 0 + 1.2

Combine like terms: 0 + 1.2 = 1.2
2.6x = 1.2

Divide each side by '2.6'.
x = 0.4615384615

Simplifying
x = 0.4615384615