.3(6x+12)-2(x-7)=19

Solution for .3(6x+12)-2(x-7)=19 equation:

Simplifying
0.3(6x + 12) + -2(x + -7) = 19

Reorder the terms:
0.3(12 + 6x) + -2(x + -7) = 19
(12 * 0.3 + 6x * 0.3) + -2(x + -7) = 19
(3.6 + 1.8x) + -2(x + -7) = 19

Reorder the terms:
3.6 + 1.8x + -2(-7 + x) = 19
3.6 + 1.8x + (-7 * -2 + x * -2) = 19
3.6 + 1.8x + (14 + -2x) = 19

Reorder the terms:
3.6 + 14 + 1.8x + -2x = 19

Combine like terms: 3.6 + 14 = 17.6
17.6 + 1.8x + -2x = 19

Combine like terms: 1.8x + -2x = -0.2x
17.6 + -0.2x = 19

Solving
17.6 + -0.2x = 19

Solving for variable 'x'.

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

Add '-17.6' to each side of the equation.
17.6 + -17.6 + -0.2x = 19 + -17.6

Combine like terms: 17.6 + -17.6 = 0.0
0.0 + -0.2x = 19 + -17.6
-0.2x = 19 + -17.6

Combine like terms: 19 + -17.6 = 1.4
-0.2x = 1.4

Divide each side by '-0.2'.
x = -7

Simplifying
x = -7