x-6x+3.9=-5.5(x-4.8)

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Solution for x-6x+3.9=-5.5(x-4.8) equation: 


Simplifying
x + -6x + 3.9 = -5.5(x + -4.8)

Reorder the terms:
3.9 + x + -6x = -5.5(x + -4.8)

Combine like terms: x + -6x = -5x
3.9 + -5x = -5.5(x + -4.8)

Reorder the terms:
3.9 + -5x = -5.5(-4.8 + x)
3.9 + -5x = (-4.8 * -5.5 + x * -5.5)
3.9 + -5x = (26.4 + -5.5x)

Solving
3.9 + -5x = 26.4 + -5.5x

Solving for variable 'x'.

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

Add '5.5x' to each side of the equation.
3.9 + -5x + 5.5x = 26.4 + -5.5x + 5.5x

Combine like terms: -5x + 5.5x = 0.5x
3.9 + 0.5x = 26.4 + -5.5x + 5.5x

Combine like terms: -5.5x + 5.5x = 0.0
3.9 + 0.5x = 26.4 + 0.0
3.9 + 0.5x = 26.4

Add '-3.9' to each side of the equation.
3.9 + -3.9 + 0.5x = 26.4 + -3.9

Combine like terms: 3.9 + -3.9 = 0.0
0.0 + 0.5x = 26.4 + -3.9
0.5x = 26.4 + -3.9

Combine like terms: 26.4 + -3.9 = 22.5
0.5x = 22.5

Divide each side by '0.5'.
x = 45

Simplifying
x = 45

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