0.1x-0.2(3-2x)=-0.7(x-6)

Solution for 0.1x-0.2(3-2x)=-0.7(x-6) equation:

Simplifying
0.1x + -0.2(3 + -2x) = -0.7(x + -6)
0.1x + (3 * -0.2 + -2x * -0.2) = -0.7(x + -6)
0.1x + (-0.6 + 0.4x) = -0.7(x + -6)

Reorder the terms:
-0.6 + 0.1x + 0.4x = -0.7(x + -6)

Combine like terms: 0.1x + 0.4x = 0.5x
-0.6 + 0.5x = -0.7(x + -6)

Reorder the terms:
-0.6 + 0.5x = -0.7(-6 + x)
-0.6 + 0.5x = (-6 * -0.7 + x * -0.7)
-0.6 + 0.5x = (4.2 + -0.7x)

Solving
-0.6 + 0.5x = 4.2 + -0.7x

Solving for variable 'x'.

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

Add '0.7x' to each side of the equation.
-0.6 + 0.5x + 0.7x = 4.2 + -0.7x + 0.7x

Combine like terms: 0.5x + 0.7x = 1.2x
-0.6 + 1.2x = 4.2 + -0.7x + 0.7x

Combine like terms: -0.7x + 0.7x = 0.0
-0.6 + 1.2x = 4.2 + 0.0
-0.6 + 1.2x = 4.2

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 1.2x = 4.2 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 1.2x = 4.2 + 0.6
1.2x = 4.2 + 0.6

Combine like terms: 4.2 + 0.6 = 4.8
1.2x = 4.8

Divide each side by '1.2'.
x = 4

Simplifying
x = 4