0.11x+0.9(x-5)=0.01(3x-4)

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Solution for 0.11x+0.9(x-5)=0.01(3x-4) equation: 


Simplifying
0.11x + 0.9(x + -5) = 0.01(3x + -4)

Reorder the terms:
0.11x + 0.9(-5 + x) = 0.01(3x + -4)
0.11x + (-5 * 0.9 + x * 0.9) = 0.01(3x + -4)
0.11x + (-4.5 + 0.9x) = 0.01(3x + -4)

Reorder the terms:
-4.5 + 0.11x + 0.9x = 0.01(3x + -4)

Combine like terms: 0.11x + 0.9x = 1.01x
-4.5 + 1.01x = 0.01(3x + -4)

Reorder the terms:
-4.5 + 1.01x = 0.01(-4 + 3x)
-4.5 + 1.01x = (-4 * 0.01 + 3x * 0.01)
-4.5 + 1.01x = (-0.04 + 0.03x)

Solving
-4.5 + 1.01x = -0.04 + 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.
-4.5 + 1.01x + -0.03x = -0.04 + 0.03x + -0.03x

Combine like terms: 1.01x + -0.03x = 0.98x
-4.5 + 0.98x = -0.04 + 0.03x + -0.03x

Combine like terms: 0.03x + -0.03x = 0.00
-4.5 + 0.98x = -0.04 + 0.00
-4.5 + 0.98x = -0.04

Add '4.5' to each side of the equation.
-4.5 + 4.5 + 0.98x = -0.04 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + 0.98x = -0.04 + 4.5
0.98x = -0.04 + 4.5

Combine like terms: -0.04 + 4.5 = 4.46
0.98x = 4.46

Divide each side by '0.98'.
x = 4.551020408

Simplifying
x = 4.551020408

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