Simplifying
0.9(x + 1.4) + -2.3 + 0.1x = 1.6
Reorder the terms:
0.9(1.4 + x) + -2.3 + 0.1x = 1.6
(1.4 * 0.9 + x * 0.9) + -2.3 + 0.1x = 1.6
(1.26 + 0.9x) + -2.3 + 0.1x = 1.6
Reorder the terms:
1.26 + -2.3 + 0.9x + 0.1x = 1.6
Combine like terms: 1.26 + -2.3 = -1.04
-1.04 + 0.9x + 0.1x = 1.6
Combine like terms: 0.9x + 0.1x = 1x
-1.04 + 1x = 1.6
Solving
-1.04 + 1x = 1.6
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1.04' to each side of the equation.
-1.04 + 1.04 + 1x = 1.6 + 1.04
Combine like terms: -1.04 + 1.04 = 0.00
0.00 + 1x = 1.6 + 1.04
1x = 1.6 + 1.04
Combine like terms: 1.6 + 1.04 = 2.64
1x = 2.64
Divide each side by '1'.
x = 2.64
Simplifying
x = 2.64