.2(4x+3)=3(1-2x)+18

Solution for .2(4x+3)=3(1-2x)+18 equation:

Simplifying
0.2(4x + 3) = 3(1 + -2x) + 18

Reorder the terms:
0.2(3 + 4x) = 3(1 + -2x) + 18
(3 * 0.2 + 4x * 0.2) = 3(1 + -2x) + 18
(0.6 + 0.8x) = 3(1 + -2x) + 18
0.6 + 0.8x = (1 * 3 + -2x * 3) + 18
0.6 + 0.8x = (3 + -6x) + 18

Reorder the terms:
0.6 + 0.8x = 3 + 18 + -6x

Combine like terms: 3 + 18 = 21
0.6 + 0.8x = 21 + -6x

Solving
0.6 + 0.8x = 21 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
0.6 + 0.8x + 6x = 21 + -6x + 6x

Combine like terms: 0.8x + 6x = 6.8x
0.6 + 6.8x = 21 + -6x + 6x

Combine like terms: -6x + 6x = 0
0.6 + 6.8x = 21 + 0
0.6 + 6.8x = 21

Add '-0.6' to each side of the equation.
0.6 + -0.6 + 6.8x = 21 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 6.8x = 21 + -0.6
6.8x = 21 + -0.6

Combine like terms: 21 + -0.6 = 20.4
6.8x = 20.4

Divide each side by '6.8'.
x = 3

Simplifying
x = 3