0.1(x+3)-4(2x-3)=0.9

Solution for 0.1(x+3)-4(2x-3)=0.9 equation:

Simplifying
0.1(x + 3) + -4(2x + -3) = 0.9

Reorder the terms:
0.1(3 + x) + -4(2x + -3) = 0.9
(3 * 0.1 + x * 0.1) + -4(2x + -3) = 0.9
(0.3 + 0.1x) + -4(2x + -3) = 0.9

Reorder the terms:
0.3 + 0.1x + -4(-3 + 2x) = 0.9
0.3 + 0.1x + (-3 * -4 + 2x * -4) = 0.9
0.3 + 0.1x + (12 + -8x) = 0.9

Reorder the terms:
0.3 + 12 + 0.1x + -8x = 0.9

Combine like terms: 0.3 + 12 = 12.3
12.3 + 0.1x + -8x = 0.9

Combine like terms: 0.1x + -8x = -7.9x
12.3 + -7.9x = 0.9

Solving
12.3 + -7.9x = 0.9

Solving for variable 'x'.

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

Add '-12.3' to each side of the equation.
12.3 + -12.3 + -7.9x = 0.9 + -12.3

Combine like terms: 12.3 + -12.3 = 0.0
0.0 + -7.9x = 0.9 + -12.3
-7.9x = 0.9 + -12.3

Combine like terms: 0.9 + -12.3 = -11.4
-7.9x = -11.4

Divide each side by '-7.9'.
x = 1.443037975

Simplifying
x = 1.443037975