3-0.1(x-12)=0.2(8x-12)

Solution for 3-0.1(x-12)=0.2(8x-12) equation:

Simplifying
3 + -0.1(x + -12) = 0.2(8x + -12)

Reorder the terms:
3 + -0.1(-12 + x) = 0.2(8x + -12)
3 + (-12 * -0.1 + x * -0.1) = 0.2(8x + -12)
3 + (1.2 + -0.1x) = 0.2(8x + -12)

Combine like terms: 3 + 1.2 = 4.2
4.2 + -0.1x = 0.2(8x + -12)

Reorder the terms:
4.2 + -0.1x = 0.2(-12 + 8x)
4.2 + -0.1x = (-12 * 0.2 + 8x * 0.2)
4.2 + -0.1x = (-2.4 + 1.6x)

Solving
4.2 + -0.1x = -2.4 + 1.6x

Solving for variable 'x'.

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

Add '-1.6x' to each side of the equation.
4.2 + -0.1x + -1.6x = -2.4 + 1.6x + -1.6x

Combine like terms: -0.1x + -1.6x = -1.7x
4.2 + -1.7x = -2.4 + 1.6x + -1.6x

Combine like terms: 1.6x + -1.6x = 0.0
4.2 + -1.7x = -2.4 + 0.0
4.2 + -1.7x = -2.4

Add '-4.2' to each side of the equation.
4.2 + -4.2 + -1.7x = -2.4 + -4.2

Combine like terms: 4.2 + -4.2 = 0.0
0.0 + -1.7x = -2.4 + -4.2
-1.7x = -2.4 + -4.2

Combine like terms: -2.4 + -4.2 = -6.6
-1.7x = -6.6

Divide each side by '-1.7'.
x = 3.882352941

Simplifying
x = 3.882352941