x-3.4+6.3=-6.5(x+6.6)

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Solution for x-3.4+6.3=-6.5(x+6.6) equation: 


Simplifying
x + -3.4 + 6.3 = -6.5(x + 6.6)

Reorder the terms:
-3.4 + 6.3 + x = -6.5(x + 6.6)

Combine like terms: -3.4 + 6.3 = 2.9
2.9 + x = -6.5(x + 6.6)

Reorder the terms:
2.9 + x = -6.5(6.6 + x)
2.9 + x = (6.6 * -6.5 + x * -6.5)
2.9 + x = (-42.9 + -6.5x)

Solving
2.9 + x = -42.9 + -6.5x

Solving for variable 'x'.

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

Add '6.5x' to each side of the equation.
2.9 + x + 6.5x = -42.9 + -6.5x + 6.5x

Combine like terms: x + 6.5x = 7.5x
2.9 + 7.5x = -42.9 + -6.5x + 6.5x

Combine like terms: -6.5x + 6.5x = 0.0
2.9 + 7.5x = -42.9 + 0.0
2.9 + 7.5x = -42.9

Add '-2.9' to each side of the equation.
2.9 + -2.9 + 7.5x = -42.9 + -2.9

Combine like terms: 2.9 + -2.9 = 0.0
0.0 + 7.5x = -42.9 + -2.9
7.5x = -42.9 + -2.9

Combine like terms: -42.9 + -2.9 = -45.8
7.5x = -45.8

Divide each side by '7.5'.
x = -6.106666667

Simplifying
x = -6.106666667

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