0.2(x+3)-4(2x-3)=5.4

Solution for 0.2(x+3)-4(2x-3)=5.4 equation:

Simplifying
0.2(x + 3) + -4(2x + -3) = 5.4

Reorder the terms:
0.2(3 + x) + -4(2x + -3) = 5.4
(3 * 0.2 + x * 0.2) + -4(2x + -3) = 5.4
(0.6 + 0.2x) + -4(2x + -3) = 5.4

Reorder the terms:
0.6 + 0.2x + -4(-3 + 2x) = 5.4
0.6 + 0.2x + (-3 * -4 + 2x * -4) = 5.4
0.6 + 0.2x + (12 + -8x) = 5.4

Reorder the terms:
0.6 + 12 + 0.2x + -8x = 5.4

Combine like terms: 0.6 + 12 = 12.6
12.6 + 0.2x + -8x = 5.4

Combine like terms: 0.2x + -8x = -7.8x
12.6 + -7.8x = 5.4

Solving
12.6 + -7.8x = 5.4

Solving for variable 'x'.

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

Add '-12.6' to each side of the equation.
12.6 + -12.6 + -7.8x = 5.4 + -12.6

Combine like terms: 12.6 + -12.6 = 0.0
0.0 + -7.8x = 5.4 + -12.6
-7.8x = 5.4 + -12.6

Combine like terms: 5.4 + -12.6 = -7.2
-7.8x = -7.2

Divide each side by '-7.8'.
x = 0.9230769231

Simplifying
x = 0.9230769231