0.3(x-4)+0.4(x+6)-0.6=01x+1.2

Solution for 0.3(x-4)+0.4(x+6)-0.6=01x+1.2 equation:

Simplifying
0.3(x + -4) + 0.4(x + 6) + -0.6 = 1x + 1.2

Reorder the terms:
0.3(-4 + x) + 0.4(x + 6) + -0.6 = 1x + 1.2
(-4 * 0.3 + x * 0.3) + 0.4(x + 6) + -0.6 = 1x + 1.2
(-1.2 + 0.3x) + 0.4(x + 6) + -0.6 = 1x + 1.2

Reorder the terms:
-1.2 + 0.3x + 0.4(6 + x) + -0.6 = 1x + 1.2
-1.2 + 0.3x + (6 * 0.4 + x * 0.4) + -0.6 = 1x + 1.2
-1.2 + 0.3x + (2.4 + 0.4x) + -0.6 = 1x + 1.2

Reorder the terms:
-1.2 + 2.4 + -0.6 + 0.3x + 0.4x = 1x + 1.2

Combine like terms: -1.2 + 2.4 = 1.2
1.2 + -0.6 + 0.3x + 0.4x = 1x + 1.2

Combine like terms: 1.2 + -0.6 = 0.6
0.6 + 0.3x + 0.4x = 1x + 1.2

Combine like terms: 0.3x + 0.4x = 0.7x
0.6 + 0.7x = 1x + 1.2

Reorder the terms:
0.6 + 0.7x = 1.2 + 1x

Solving
0.6 + 0.7x = 1.2 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
0.6 + 0.7x + -1x = 1.2 + 1x + -1x

Combine like terms: 0.7x + -1x = -0.3x
0.6 + -0.3x = 1.2 + 1x + -1x

Combine like terms: 1x + -1x = 0
0.6 + -0.3x = 1.2 + 0
0.6 + -0.3x = 1.2

Add '-0.6' to each side of the equation.
0.6 + -0.6 + -0.3x = 1.2 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -0.3x = 1.2 + -0.6
-0.3x = 1.2 + -0.6

Combine like terms: 1.2 + -0.6 = 0.6
-0.3x = 0.6

Divide each side by '-0.3'.
x = -2

Simplifying
x = -2