0.4(x-1.5)-0.3(x-1.2)=1

Solution for 0.4(x-1.5)-0.3(x-1.2)=1 equation:

Simplifying
0.4(x + -1.5) + -0.3(x + -1.2) = 1

Reorder the terms:
0.4(-1.5 + x) + -0.3(x + -1.2) = 1
(-1.5 * 0.4 + x * 0.4) + -0.3(x + -1.2) = 1
(-0.6 + 0.4x) + -0.3(x + -1.2) = 1

Reorder the terms:
-0.6 + 0.4x + -0.3(-1.2 + x) = 1
-0.6 + 0.4x + (-1.2 * -0.3 + x * -0.3) = 1
-0.6 + 0.4x + (0.36 + -0.3x) = 1

Reorder the terms:
-0.6 + 0.36 + 0.4x + -0.3x = 1

Combine like terms: -0.6 + 0.36 = -0.24
-0.24 + 0.4x + -0.3x = 1

Combine like terms: 0.4x + -0.3x = 0.1x
-0.24 + 0.1x = 1

Solving
-0.24 + 0.1x = 1

Solving for variable 'x'.

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

Add '0.24' to each side of the equation.
-0.24 + 0.24 + 0.1x = 1 + 0.24

Combine like terms: -0.24 + 0.24 = 0.00
0.00 + 0.1x = 1 + 0.24
0.1x = 1 + 0.24

Combine like terms: 1 + 0.24 = 1.24
0.1x = 1.24

Divide each side by '0.1'.
x = 12.4

Simplifying
x = 12.4