0.6(x-1)-0.2(x-3)=x+1

Solution for 0.6(x-1)-0.2(x-3)=x+1 equation:

Simplifying
0.6(x + -1) + -0.2(x + -3) = x + 1

Reorder the terms:
0.6(-1 + x) + -0.2(x + -3) = x + 1
(-1 * 0.6 + x * 0.6) + -0.2(x + -3) = x + 1
(-0.6 + 0.6x) + -0.2(x + -3) = x + 1

Reorder the terms:
-0.6 + 0.6x + -0.2(-3 + x) = x + 1
-0.6 + 0.6x + (-3 * -0.2 + x * -0.2) = x + 1
-0.6 + 0.6x + (0.6 + -0.2x) = x + 1

Reorder the terms:
-0.6 + 0.6 + 0.6x + -0.2x = x + 1

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 0.6x + -0.2x = x + 1
0.6x + -0.2x = x + 1

Combine like terms: 0.6x + -0.2x = 0.4x
0.4x = x + 1

Reorder the terms:
0.4x = 1 + x

Solving
0.4x = 1 + x

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.
0.4x + -1x = 1 + x + -1x

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

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

Divide each side by '-0.6'.
x = -1.666666667

Simplifying
x = -1.666666667