0.9x+0.1=0.5(x-12)

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Solution for 0.9x+0.1=0.5(x-12) equation: 


Simplifying
0.9x + 0.1 = 0.5(x + -12)

Reorder the terms:
0.1 + 0.9x = 0.5(x + -12)

Reorder the terms:
0.1 + 0.9x = 0.5(-12 + x)
0.1 + 0.9x = (-12 * 0.5 + x * 0.5)
0.1 + 0.9x = (-6 + 0.5x)

Solving
0.1 + 0.9x = -6 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
0.1 + 0.9x + -0.5x = -6 + 0.5x + -0.5x

Combine like terms: 0.9x + -0.5x = 0.4x
0.1 + 0.4x = -6 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
0.1 + 0.4x = -6 + 0.0
0.1 + 0.4x = -6

Add '-0.1' to each side of the equation.
0.1 + -0.1 + 0.4x = -6 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + 0.4x = -6 + -0.1
0.4x = -6 + -0.1

Combine like terms: -6 + -0.1 = -6.1
0.4x = -6.1

Divide each side by '0.4'.
x = -15.25

Simplifying
x = -15.25

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