0.11x+0.5(x-2)=0.01(3x-3)

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Solution for 0.11x+0.5(x-2)=0.01(3x-3) equation:


Simplifying
0.11x + 0.5(x + -2) = 0.01(3x + -3)

Reorder the terms:
0.11x + 0.5(-2 + x) = 0.01(3x + -3)
0.11x + (-2 * 0.5 + x * 0.5) = 0.01(3x + -3)
0.11x + (-1 + 0.5x) = 0.01(3x + -3)

Reorder the terms:
-1 + 0.11x + 0.5x = 0.01(3x + -3)

Combine like terms: 0.11x + 0.5x = 0.61x
-1 + 0.61x = 0.01(3x + -3)

Reorder the terms:
-1 + 0.61x = 0.01(-3 + 3x)
-1 + 0.61x = (-3 * 0.01 + 3x * 0.01)
-1 + 0.61x = (-0.03 + 0.03x)

Solving
-1 + 0.61x = -0.03 + 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.
-1 + 0.61x + -0.03x = -0.03 + 0.03x + -0.03x

Combine like terms: 0.61x + -0.03x = 0.58x
-1 + 0.58x = -0.03 + 0.03x + -0.03x

Combine like terms: 0.03x + -0.03x = 0.00
-1 + 0.58x = -0.03 + 0.00
-1 + 0.58x = -0.03

Add '1' to each side of the equation.
-1 + 1 + 0.58x = -0.03 + 1

Combine like terms: -1 + 1 = 0
0 + 0.58x = -0.03 + 1
0.58x = -0.03 + 1

Combine like terms: -0.03 + 1 = 0.97
0.58x = 0.97

Divide each side by '0.58'.
x = 1.672413793

Simplifying
x = 1.672413793

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