0.1(x-.9)+.04(3x-23)=.5(4x+.012)

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Solution for 0.1(x-.9)+.04(3x-23)=.5(4x+.012) equation: 


Simplifying
0.1(x + -0.9) + 0.04(3x + -23) = 0.5(4x + 0.012)

Reorder the terms:
0.1(-0.9 + x) + 0.04(3x + -23) = 0.5(4x + 0.012)
(-0.9 * 0.1 + x * 0.1) + 0.04(3x + -23) = 0.5(4x + 0.012)
(-0.09 + 0.1x) + 0.04(3x + -23) = 0.5(4x + 0.012)

Reorder the terms:
-0.09 + 0.1x + 0.04(-23 + 3x) = 0.5(4x + 0.012)
-0.09 + 0.1x + (-23 * 0.04 + 3x * 0.04) = 0.5(4x + 0.012)
-0.09 + 0.1x + (-0.92 + 0.12x) = 0.5(4x + 0.012)

Reorder the terms:
-0.09 + -0.92 + 0.1x + 0.12x = 0.5(4x + 0.012)

Combine like terms: -0.09 + -0.92 = -1.01
-1.01 + 0.1x + 0.12x = 0.5(4x + 0.012)

Combine like terms: 0.1x + 0.12x = 0.22x
-1.01 + 0.22x = 0.5(4x + 0.012)

Reorder the terms:
-1.01 + 0.22x = 0.5(0.012 + 4x)
-1.01 + 0.22x = (0.012 * 0.5 + 4x * 0.5)
-1.01 + 0.22x = (0.006 + 2x)

Solving
-1.01 + 0.22x = 0.006 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
-1.01 + 0.22x + -2x = 0.006 + 2x + -2x

Combine like terms: 0.22x + -2x = -1.78x
-1.01 + -1.78x = 0.006 + 2x + -2x

Combine like terms: 2x + -2x = 0
-1.01 + -1.78x = 0.006 + 0
-1.01 + -1.78x = 0.006

Add '1.01' to each side of the equation.
-1.01 + 1.01 + -1.78x = 0.006 + 1.01

Combine like terms: -1.01 + 1.01 = 0.00
0.00 + -1.78x = 0.006 + 1.01
-1.78x = 0.006 + 1.01

Combine like terms: 0.006 + 1.01 = 1.016
-1.78x = 1.016

Divide each side by '-1.78'.
x = -0.5707865169

Simplifying
x = -0.5707865169

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