0.9(7x+14)=1.1(x+2)

Solution for 0.9(7x+14)=1.1(x+2) equation:

Simplifying
0.9(7x + 14) = 1.1(x + 2)

Reorder the terms:
0.9(14 + 7x) = 1.1(x + 2)
(14 * 0.9 + 7x * 0.9) = 1.1(x + 2)
(12.6 + 6.3x) = 1.1(x + 2)

Reorder the terms:
12.6 + 6.3x = 1.1(2 + x)
12.6 + 6.3x = (2 * 1.1 + x * 1.1)
12.6 + 6.3x = (2.2 + 1.1x)

Solving
12.6 + 6.3x = 2.2 + 1.1x

Solving for variable 'x'.

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

Add '-1.1x' to each side of the equation.
12.6 + 6.3x + -1.1x = 2.2 + 1.1x + -1.1x

Combine like terms: 6.3x + -1.1x = 5.2x
12.6 + 5.2x = 2.2 + 1.1x + -1.1x

Combine like terms: 1.1x + -1.1x = 0.0
12.6 + 5.2x = 2.2 + 0.0
12.6 + 5.2x = 2.2

Add '-12.6' to each side of the equation.
12.6 + -12.6 + 5.2x = 2.2 + -12.6

Combine like terms: 12.6 + -12.6 = 0.0
0.0 + 5.2x = 2.2 + -12.6
5.2x = 2.2 + -12.6

Combine like terms: 2.2 + -12.6 = -10.4
5.2x = -10.4

Divide each side by '5.2'.
x = -2

Simplifying
x = -2