0.3x-1.2(x-9)=0.2(x-1)

Solution for 0.3x-1.2(x-9)=0.2(x-1) equation:

Simplifying
0.3x + -1.2(x + -9) = 0.2(x + -1)

Reorder the terms:
0.3x + -1.2(-9 + x) = 0.2(x + -1)
0.3x + (-9 * -1.2 + x * -1.2) = 0.2(x + -1)
0.3x + (10.8 + -1.2x) = 0.2(x + -1)

Reorder the terms:
10.8 + 0.3x + -1.2x = 0.2(x + -1)

Combine like terms: 0.3x + -1.2x = -0.9x
10.8 + -0.9x = 0.2(x + -1)

Reorder the terms:
10.8 + -0.9x = 0.2(-1 + x)
10.8 + -0.9x = (-1 * 0.2 + x * 0.2)
10.8 + -0.9x = (-0.2 + 0.2x)

Solving
10.8 + -0.9x = -0.2 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
10.8 + -0.9x + -0.2x = -0.2 + 0.2x + -0.2x

Combine like terms: -0.9x + -0.2x = -1.1x
10.8 + -1.1x = -0.2 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
10.8 + -1.1x = -0.2 + 0.0
10.8 + -1.1x = -0.2

Add '-10.8' to each side of the equation.
10.8 + -10.8 + -1.1x = -0.2 + -10.8

Combine like terms: 10.8 + -10.8 = 0.0
0.0 + -1.1x = -0.2 + -10.8
-1.1x = -0.2 + -10.8

Combine like terms: -0.2 + -10.8 = -11
-1.1x = -11

Divide each side by '-1.1'.
x = 10

Simplifying
x = 10