0.19x+0.4(x-2)=0.01(3x-2)

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Solution for 0.19x+0.4(x-2)=0.01(3x-2) equation:


Simplifying
0.19x + 0.4(x + -2) = 0.01(3x + -2)

Reorder the terms:
0.19x + 0.4(-2 + x) = 0.01(3x + -2)
0.19x + (-2 * 0.4 + x * 0.4) = 0.01(3x + -2)
0.19x + (-0.8 + 0.4x) = 0.01(3x + -2)

Reorder the terms:
-0.8 + 0.19x + 0.4x = 0.01(3x + -2)

Combine like terms: 0.19x + 0.4x = 0.59x
-0.8 + 0.59x = 0.01(3x + -2)

Reorder the terms:
-0.8 + 0.59x = 0.01(-2 + 3x)
-0.8 + 0.59x = (-2 * 0.01 + 3x * 0.01)
-0.8 + 0.59x = (-0.02 + 0.03x)

Solving
-0.8 + 0.59x = -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.
-0.8 + 0.59x + -0.03x = -0.02 + 0.03x + -0.03x

Combine like terms: 0.59x + -0.03x = 0.56x
-0.8 + 0.56x = -0.02 + 0.03x + -0.03x

Combine like terms: 0.03x + -0.03x = 0.00
-0.8 + 0.56x = -0.02 + 0.00
-0.8 + 0.56x = -0.02

Add '0.8' to each side of the equation.
-0.8 + 0.8 + 0.56x = -0.02 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + 0.56x = -0.02 + 0.8
0.56x = -0.02 + 0.8

Combine like terms: -0.02 + 0.8 = 0.78
0.56x = 0.78

Divide each side by '0.56'.
x = 1.392857143

Simplifying
x = 1.392857143

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