13.6x-3.4(13.77+9.6x)=12.2(x+1.637)-10.35

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Solution for 13.6x-3.4(13.77+9.6x)=12.2(x+1.637)-10.35 equation: 


Simplifying
13.6x + -3.4(13.77 + 9.6x) = 12.2(x + 1.637) + -10.35
13.6x + (13.77 * -3.4 + 9.6x * -3.4) = 12.2(x + 1.637) + -10.35
13.6x + (-46.818 + -32.64x) = 12.2(x + 1.637) + -10.35

Reorder the terms:
-46.818 + 13.6x + -32.64x = 12.2(x + 1.637) + -10.35

Combine like terms: 13.6x + -32.64x = -19.04x
-46.818 + -19.04x = 12.2(x + 1.637) + -10.35

Reorder the terms:
-46.818 + -19.04x = 12.2(1.637 + x) + -10.35
-46.818 + -19.04x = (1.637 * 12.2 + x * 12.2) + -10.35
-46.818 + -19.04x = (19.9714 + 12.2x) + -10.35

Reorder the terms:
-46.818 + -19.04x = 19.9714 + -10.35 + 12.2x

Combine like terms: 19.9714 + -10.35 = 9.6214
-46.818 + -19.04x = 9.6214 + 12.2x

Solving
-46.818 + -19.04x = 9.6214 + 12.2x

Solving for variable 'x'.

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

Add '-12.2x' to each side of the equation.
-46.818 + -19.04x + -12.2x = 9.6214 + 12.2x + -12.2x

Combine like terms: -19.04x + -12.2x = -31.24x
-46.818 + -31.24x = 9.6214 + 12.2x + -12.2x

Combine like terms: 12.2x + -12.2x = 0.0
-46.818 + -31.24x = 9.6214 + 0.0
-46.818 + -31.24x = 9.6214

Add '46.818' to each side of the equation.
-46.818 + 46.818 + -31.24x = 9.6214 + 46.818

Combine like terms: -46.818 + 46.818 = 0.000
0.000 + -31.24x = 9.6214 + 46.818
-31.24x = 9.6214 + 46.818

Combine like terms: 9.6214 + 46.818 = 56.4394
-31.24x = 56.4394

Divide each side by '-31.24'.
x = -1.806638924

Simplifying
x = -1.806638924

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