0.9(x+7)+1.9(x-6)=

Solution for 0.9(x+7)+1.9(x-6)= equation:

Simplifying
0.9(x + 7) + 1.9(x + -6) = 0

Reorder the terms:
0.9(7 + x) + 1.9(x + -6) = 0
(7 * 0.9 + x * 0.9) + 1.9(x + -6) = 0
(6.3 + 0.9x) + 1.9(x + -6) = 0

Reorder the terms:
6.3 + 0.9x + 1.9(-6 + x) = 0
6.3 + 0.9x + (-6 * 1.9 + x * 1.9) = 0
6.3 + 0.9x + (-11.4 + 1.9x) = 0

Reorder the terms:
6.3 + -11.4 + 0.9x + 1.9x = 0

Combine like terms: 6.3 + -11.4 = -5.1
-5.1 + 0.9x + 1.9x = 0

Combine like terms: 0.9x + 1.9x = 2.8x
-5.1 + 2.8x = 0

Solving
-5.1 + 2.8x = 0

Solving for variable 'x'.

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

Add '5.1' to each side of the equation.
-5.1 + 5.1 + 2.8x = 0 + 5.1

Combine like terms: -5.1 + 5.1 = 0.0
0.0 + 2.8x = 0 + 5.1
2.8x = 0 + 5.1

Combine like terms: 0 + 5.1 = 5.1
2.8x = 5.1

Divide each side by '2.8'.
x = 1.821428571

Simplifying
x = 1.821428571