0.12x+0.3(x-5)=0.01(5x-1)

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Solution for 0.12x+0.3(x-5)=0.01(5x-1) equation:


Simplifying
0.12x + 0.3(x + -5) = 0.01(5x + -1)

Reorder the terms:
0.12x + 0.3(-5 + x) = 0.01(5x + -1)
0.12x + (-5 * 0.3 + x * 0.3) = 0.01(5x + -1)
0.12x + (-1.5 + 0.3x) = 0.01(5x + -1)

Reorder the terms:
-1.5 + 0.12x + 0.3x = 0.01(5x + -1)

Combine like terms: 0.12x + 0.3x = 0.42x
-1.5 + 0.42x = 0.01(5x + -1)

Reorder the terms:
-1.5 + 0.42x = 0.01(-1 + 5x)
-1.5 + 0.42x = (-1 * 0.01 + 5x * 0.01)
-1.5 + 0.42x = (-0.01 + 0.05x)

Solving
-1.5 + 0.42x = -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.
-1.5 + 0.42x + -0.05x = -0.01 + 0.05x + -0.05x

Combine like terms: 0.42x + -0.05x = 0.37x
-1.5 + 0.37x = -0.01 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
-1.5 + 0.37x = -0.01 + 0.00
-1.5 + 0.37x = -0.01

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 0.37x = -0.01 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 0.37x = -0.01 + 1.5
0.37x = -0.01 + 1.5

Combine like terms: -0.01 + 1.5 = 1.49
0.37x = 1.49

Divide each side by '0.37'.
x = 4.027027027

Simplifying
x = 4.027027027

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