0.9(7x+14)=1.5(x+2)

Solution for 0.9(7x+14)=1.5(x+2) equation:

Simplifying
0.9(7x + 14) = 1.5(x + 2)

Reorder the terms:
0.9(14 + 7x) = 1.5(x + 2)
(14 * 0.9 + 7x * 0.9) = 1.5(x + 2)
(12.6 + 6.3x) = 1.5(x + 2)

Reorder the terms:
12.6 + 6.3x = 1.5(2 + x)
12.6 + 6.3x = (2 * 1.5 + x * 1.5)
12.6 + 6.3x = (3 + 1.5x)

Solving
12.6 + 6.3x = 3 + 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
12.6 + 6.3x + -1.5x = 3 + 1.5x + -1.5x

Combine like terms: 6.3x + -1.5x = 4.8x
12.6 + 4.8x = 3 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
12.6 + 4.8x = 3 + 0.0
12.6 + 4.8x = 3

Add '-12.6' to each side of the equation.
12.6 + -12.6 + 4.8x = 3 + -12.6

Combine like terms: 12.6 + -12.6 = 0.0
0.0 + 4.8x = 3 + -12.6
4.8x = 3 + -12.6

Combine like terms: 3 + -12.6 = -9.6
4.8x = -9.6

Divide each side by '4.8'.
x = -2

Simplifying
x = -2