.18x+0.2(x-3)=0.01(2x-4)

Solution for .18x+0.2(x-3)=0.01(2x-4) equation:

Simplifying
0.18x + 0.2(x + -3) = 0.01(2x + -4)

Reorder the terms:
0.18x + 0.2(-3 + x) = 0.01(2x + -4)
0.18x + (-3 * 0.2 + x * 0.2) = 0.01(2x + -4)
0.18x + (-0.6 + 0.2x) = 0.01(2x + -4)

Reorder the terms:
-0.6 + 0.18x + 0.2x = 0.01(2x + -4)

Combine like terms: 0.18x + 0.2x = 0.38x
-0.6 + 0.38x = 0.01(2x + -4)

Reorder the terms:
-0.6 + 0.38x = 0.01(-4 + 2x)
-0.6 + 0.38x = (-4 * 0.01 + 2x * 0.01)
-0.6 + 0.38x = (-0.04 + 0.02x)

Solving
-0.6 + 0.38x = -0.04 + 0.02x

Solving for variable 'x'.

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

Add '-0.02x' to each side of the equation.
-0.6 + 0.38x + -0.02x = -0.04 + 0.02x + -0.02x

Combine like terms: 0.38x + -0.02x = 0.36x
-0.6 + 0.36x = -0.04 + 0.02x + -0.02x

Combine like terms: 0.02x + -0.02x = 0.00
-0.6 + 0.36x = -0.04 + 0.00
-0.6 + 0.36x = -0.04

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 0.36x = -0.04 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 0.36x = -0.04 + 0.6
0.36x = -0.04 + 0.6

Combine like terms: -0.04 + 0.6 = 0.56
0.36x = 0.56

Divide each side by '0.36'.
x = 1.555555556

Simplifying
x = 1.555555556