x-4.5x+3.9=-1.7(x+3)

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Solution for x-4.5x+3.9=-1.7(x+3) equation: 


Simplifying
x + -4.5x + 3.9 = -1.7(x + 3)

Reorder the terms:
3.9 + x + -4.5x = -1.7(x + 3)

Combine like terms: x + -4.5x = -3.5x
3.9 + -3.5x = -1.7(x + 3)

Reorder the terms:
3.9 + -3.5x = -1.7(3 + x)
3.9 + -3.5x = (3 * -1.7 + x * -1.7)
3.9 + -3.5x = (-5.1 + -1.7x)

Solving
3.9 + -3.5x = -5.1 + -1.7x

Solving for variable 'x'.

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

Add '1.7x' to each side of the equation.
3.9 + -3.5x + 1.7x = -5.1 + -1.7x + 1.7x

Combine like terms: -3.5x + 1.7x = -1.8x
3.9 + -1.8x = -5.1 + -1.7x + 1.7x

Combine like terms: -1.7x + 1.7x = 0.0
3.9 + -1.8x = -5.1 + 0.0
3.9 + -1.8x = -5.1

Add '-3.9' to each side of the equation.
3.9 + -3.9 + -1.8x = -5.1 + -3.9

Combine like terms: 3.9 + -3.9 = 0.0
0.0 + -1.8x = -5.1 + -3.9
-1.8x = -5.1 + -3.9

Combine like terms: -5.1 + -3.9 = -9
-1.8x = -9

Divide each side by '-1.8'.
x = 5

Simplifying
x = 5

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