.2[4x-3]=5

Solution for .2[4x-3]=5 equation:

Simplifying
0.2[4x + -3] = 5

Reorder the terms:
0.2[-3 + 4x] = 5
[-3 * 0.2 + 4x * 0.2] = 5
[-0.6 + 0.8x] = 5

Solving
-0.6 + 0.8x = 5

Solving for variable 'x'.

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

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 0.8x = 5 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 0.8x = 5 + 0.6
0.8x = 5 + 0.6

Combine like terms: 5 + 0.6 = 5.6
0.8x = 5.6

Divide each side by '0.8'.
x = 7

Simplifying
x = 7