1-0.4(x-4)+0.6(x-7)=-0.6

Solution for 1-0.4(x-4)+0.6(x-7)=-0.6 equation:

Simplifying
1 + -0.4(x + -4) + 0.6(x + -7) = -0.6

Reorder the terms:
1 + -0.4(-4 + x) + 0.6(x + -7) = -0.6
1 + (-4 * -0.4 + x * -0.4) + 0.6(x + -7) = -0.6
1 + (1.6 + -0.4x) + 0.6(x + -7) = -0.6

Reorder the terms:
1 + 1.6 + -0.4x + 0.6(-7 + x) = -0.6
1 + 1.6 + -0.4x + (-7 * 0.6 + x * 0.6) = -0.6
1 + 1.6 + -0.4x + (-4.2 + 0.6x) = -0.6

Reorder the terms:
1 + 1.6 + -4.2 + -0.4x + 0.6x = -0.6

Combine like terms: 1 + 1.6 = 2.6
2.6 + -4.2 + -0.4x + 0.6x = -0.6

Combine like terms: 2.6 + -4.2 = -1.6
-1.6 + -0.4x + 0.6x = -0.6

Combine like terms: -0.4x + 0.6x = 0.2x
-1.6 + 0.2x = -0.6

Solving
-1.6 + 0.2x = -0.6

Solving for variable 'x'.

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

Add '1.6' to each side of the equation.
-1.6 + 1.6 + 0.2x = -0.6 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + 0.2x = -0.6 + 1.6
0.2x = -0.6 + 1.6

Combine like terms: -0.6 + 1.6 = 1
0.2x = 1

Divide each side by '0.2'.
x = 5

Simplifying
x = 5