0.15+0.3(x-2)=0.01(3x-5)

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Solution for 0.15+0.3(x-2)=0.01(3x-5) equation: 


Simplifying
0.15 + 0.3(x + -2) = 0.01(3x + -5)

Reorder the terms:
0.15 + 0.3(-2 + x) = 0.01(3x + -5)
0.15 + (-2 * 0.3 + x * 0.3) = 0.01(3x + -5)
0.15 + (-0.6 + 0.3x) = 0.01(3x + -5)

Combine like terms: 0.15 + -0.6 = -0.45
-0.45 + 0.3x = 0.01(3x + -5)

Reorder the terms:
-0.45 + 0.3x = 0.01(-5 + 3x)
-0.45 + 0.3x = (-5 * 0.01 + 3x * 0.01)
-0.45 + 0.3x = (-0.05 + 0.03x)

Solving
-0.45 + 0.3x = -0.05 + 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.
-0.45 + 0.3x + -0.03x = -0.05 + 0.03x + -0.03x

Combine like terms: 0.3x + -0.03x = 0.27x
-0.45 + 0.27x = -0.05 + 0.03x + -0.03x

Combine like terms: 0.03x + -0.03x = 0.00
-0.45 + 0.27x = -0.05 + 0.00
-0.45 + 0.27x = -0.05

Add '0.45' to each side of the equation.
-0.45 + 0.45 + 0.27x = -0.05 + 0.45

Combine like terms: -0.45 + 0.45 = 0.00
0.00 + 0.27x = -0.05 + 0.45
0.27x = -0.05 + 0.45

Combine like terms: -0.05 + 0.45 = 0.4
0.27x = 0.4

Divide each side by '0.27'.
x = 1.481481481

Simplifying
x = 1.481481481

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