0.18x+0.4(x-5)=0.01(5x-1)

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Solution for 0.18x+0.4(x-5)=0.01(5x-1) equation:


Simplifying
0.18x + 0.4(x + -5) = 0.01(5x + -1)

Reorder the terms:
0.18x + 0.4(-5 + x) = 0.01(5x + -1)
0.18x + (-5 * 0.4 + x * 0.4) = 0.01(5x + -1)
0.18x + (-2 + 0.4x) = 0.01(5x + -1)

Reorder the terms:
-2 + 0.18x + 0.4x = 0.01(5x + -1)

Combine like terms: 0.18x + 0.4x = 0.58x
-2 + 0.58x = 0.01(5x + -1)

Reorder the terms:
-2 + 0.58x = 0.01(-1 + 5x)
-2 + 0.58x = (-1 * 0.01 + 5x * 0.01)
-2 + 0.58x = (-0.01 + 0.05x)

Solving
-2 + 0.58x = -0.01 + 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.
-2 + 0.58x + -0.05x = -0.01 + 0.05x + -0.05x

Combine like terms: 0.58x + -0.05x = 0.53x
-2 + 0.53x = -0.01 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
-2 + 0.53x = -0.01 + 0.00
-2 + 0.53x = -0.01

Add '2' to each side of the equation.
-2 + 2 + 0.53x = -0.01 + 2

Combine like terms: -2 + 2 = 0
0 + 0.53x = -0.01 + 2
0.53x = -0.01 + 2

Combine like terms: -0.01 + 2 = 1.99
0.53x = 1.99

Divide each side by '0.53'.
x = 3.754716981

Simplifying
x = 3.754716981

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