12.4+8.6x=-3.4(-3x-4)

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Solution for 12.4+8.6x=-3.4(-3x-4) equation: 


Simplifying
12.4 + 8.6x = -3.4(-3x + -4)

Reorder the terms:
12.4 + 8.6x = -3.4(-4 + -3x)
12.4 + 8.6x = (-4 * -3.4 + -3x * -3.4)
12.4 + 8.6x = (13.6 + 10.2x)

Solving
12.4 + 8.6x = 13.6 + 10.2x

Solving for variable 'x'.

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

Add '-10.2x' to each side of the equation.
12.4 + 8.6x + -10.2x = 13.6 + 10.2x + -10.2x

Combine like terms: 8.6x + -10.2x = -1.6x
12.4 + -1.6x = 13.6 + 10.2x + -10.2x

Combine like terms: 10.2x + -10.2x = 0.0
12.4 + -1.6x = 13.6 + 0.0
12.4 + -1.6x = 13.6

Add '-12.4' to each side of the equation.
12.4 + -12.4 + -1.6x = 13.6 + -12.4

Combine like terms: 12.4 + -12.4 = 0.0
0.0 + -1.6x = 13.6 + -12.4
-1.6x = 13.6 + -12.4

Combine like terms: 13.6 + -12.4 = 1.2
-1.6x = 1.2

Divide each side by '-1.6'.
x = -0.75

Simplifying
x = -0.75

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