9(1.1-4.3x)-4(8.2x-5)=2.1x-10.3

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Solution for 9(1.1-4.3x)-4(8.2x-5)=2.1x-10.3 equation: 


Simplifying
9(1.1 + -4.3x) + -4(8.2x + -5) = 2.1x + -10.3
(1.1 * 9 + -4.3x * 9) + -4(8.2x + -5) = 2.1x + -10.3
(9.9 + -38.7x) + -4(8.2x + -5) = 2.1x + -10.3

Reorder the terms:
9.9 + -38.7x + -4(-5 + 8.2x) = 2.1x + -10.3
9.9 + -38.7x + (-5 * -4 + 8.2x * -4) = 2.1x + -10.3
9.9 + -38.7x + (20 + -32.8x) = 2.1x + -10.3

Reorder the terms:
9.9 + 20 + -38.7x + -32.8x = 2.1x + -10.3

Combine like terms: 9.9 + 20 = 29.9
29.9 + -38.7x + -32.8x = 2.1x + -10.3

Combine like terms: -38.7x + -32.8x = -71.5x
29.9 + -71.5x = 2.1x + -10.3

Reorder the terms:
29.9 + -71.5x = -10.3 + 2.1x

Solving
29.9 + -71.5x = -10.3 + 2.1x

Solving for variable 'x'.

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

Add '-2.1x' to each side of the equation.
29.9 + -71.5x + -2.1x = -10.3 + 2.1x + -2.1x

Combine like terms: -71.5x + -2.1x = -73.6x
29.9 + -73.6x = -10.3 + 2.1x + -2.1x

Combine like terms: 2.1x + -2.1x = 0.0
29.9 + -73.6x = -10.3 + 0.0
29.9 + -73.6x = -10.3

Add '-29.9' to each side of the equation.
29.9 + -29.9 + -73.6x = -10.3 + -29.9

Combine like terms: 29.9 + -29.9 = 0.0
0.0 + -73.6x = -10.3 + -29.9
-73.6x = -10.3 + -29.9

Combine like terms: -10.3 + -29.9 = -40.2
-73.6x = -40.2

Divide each side by '-73.6'.
x = 0.5461956522

Simplifying
x = 0.5461956522

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