3(x+2)=1.4(12x+4)-5x

Solution for 3(x+2)=1.4(12x+4)-5x equation:

Simplifying
3(x + 2) = 1.4(12x + 4) + -5x

Reorder the terms:
3(2 + x) = 1.4(12x + 4) + -5x
(2 * 3 + x * 3) = 1.4(12x + 4) + -5x
(6 + 3x) = 1.4(12x + 4) + -5x

Reorder the terms:
6 + 3x = 1.4(4 + 12x) + -5x
6 + 3x = (4 * 1.4 + 12x * 1.4) + -5x
6 + 3x = (5.6 + 16.8x) + -5x

Combine like terms: 16.8x + -5x = 11.8x
6 + 3x = 5.6 + 11.8x

Solving
6 + 3x = 5.6 + 11.8x

Solving for variable 'x'.

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

Add '-11.8x' to each side of the equation.
6 + 3x + -11.8x = 5.6 + 11.8x + -11.8x

Combine like terms: 3x + -11.8x = -8.8x
6 + -8.8x = 5.6 + 11.8x + -11.8x

Combine like terms: 11.8x + -11.8x = 0.0
6 + -8.8x = 5.6 + 0.0
6 + -8.8x = 5.6

Add '-6' to each side of the equation.
6 + -6 + -8.8x = 5.6 + -6

Combine like terms: 6 + -6 = 0
0 + -8.8x = 5.6 + -6
-8.8x = 5.6 + -6

Combine like terms: 5.6 + -6 = -0.4
-8.8x = -0.4

Divide each side by '-8.8'.
x = 0.04545454545

Simplifying
x = 0.04545454545