0.18x+0.2(x-5)=0.01(5x-2)

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Solution for 0.18x+0.2(x-5)=0.01(5x-2) equation:


Simplifying
0.18x + 0.2(x + -5) = 0.01(5x + -2)

Reorder the terms:
0.18x + 0.2(-5 + x) = 0.01(5x + -2)
0.18x + (-5 * 0.2 + x * 0.2) = 0.01(5x + -2)
0.18x + (-1 + 0.2x) = 0.01(5x + -2)

Reorder the terms:
-1 + 0.18x + 0.2x = 0.01(5x + -2)

Combine like terms: 0.18x + 0.2x = 0.38x
-1 + 0.38x = 0.01(5x + -2)

Reorder the terms:
-1 + 0.38x = 0.01(-2 + 5x)
-1 + 0.38x = (-2 * 0.01 + 5x * 0.01)
-1 + 0.38x = (-0.02 + 0.05x)

Solving
-1 + 0.38x = -0.02 + 0.05x

Solving for variable 'x'.

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

Add '-0.05x' to each side of the equation.
-1 + 0.38x + -0.05x = -0.02 + 0.05x + -0.05x

Combine like terms: 0.38x + -0.05x = 0.33x
-1 + 0.33x = -0.02 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
-1 + 0.33x = -0.02 + 0.00
-1 + 0.33x = -0.02

Add '1' to each side of the equation.
-1 + 1 + 0.33x = -0.02 + 1

Combine like terms: -1 + 1 = 0
0 + 0.33x = -0.02 + 1
0.33x = -0.02 + 1

Combine like terms: -0.02 + 1 = 0.98
0.33x = 0.98

Divide each side by '0.33'.
x = 2.96969697

Simplifying
x = 2.96969697

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