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

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Solution for 0.18x+0.2(x-2)=0.01(3x-2) equation: 


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

Reorder the terms:
0.18x + 0.2(-2 + x) = 0.01(3x + -2)
0.18x + (-2 * 0.2 + x * 0.2) = 0.01(3x + -2)
0.18x + (-0.4 + 0.2x) = 0.01(3x + -2)

Reorder the terms:
-0.4 + 0.18x + 0.2x = 0.01(3x + -2)

Combine like terms: 0.18x + 0.2x = 0.38x
-0.4 + 0.38x = 0.01(3x + -2)

Reorder the terms:
-0.4 + 0.38x = 0.01(-2 + 3x)
-0.4 + 0.38x = (-2 * 0.01 + 3x * 0.01)
-0.4 + 0.38x = (-0.02 + 0.03x)

Solving
-0.4 + 0.38x = -0.02 + 0.03x

Solving for variable 'x'.

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

Add '-0.03x' to each side of the equation.
-0.4 + 0.38x + -0.03x = -0.02 + 0.03x + -0.03x

Combine like terms: 0.38x + -0.03x = 0.35x
-0.4 + 0.35x = -0.02 + 0.03x + -0.03x

Combine like terms: 0.03x + -0.03x = 0.00
-0.4 + 0.35x = -0.02 + 0.00
-0.4 + 0.35x = -0.02

Add '0.4' to each side of the equation.
-0.4 + 0.4 + 0.35x = -0.02 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + 0.35x = -0.02 + 0.4
0.35x = -0.02 + 0.4

Combine like terms: -0.02 + 0.4 = 0.38
0.35x = 0.38

Divide each side by '0.35'.
x = 1.085714286

Simplifying
x = 1.085714286

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