38(13-3.5x)=15(3x-9)+41.6

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Solution for 38(13-3.5x)=15(3x-9)+41.6 equation:


Simplifying
38(13 + -3.5x) = 15(3x + -9) + 41.6
(13 * 38 + -3.5x * 38) = 15(3x + -9) + 41.6
(494 + -133x) = 15(3x + -9) + 41.6

Reorder the terms:
494 + -133x = 15(-9 + 3x) + 41.6
494 + -133x = (-9 * 15 + 3x * 15) + 41.6
494 + -133x = (-135 + 45x) + 41.6

Reorder the terms:
494 + -133x = -135 + 41.6 + 45x

Combine like terms: -135 + 41.6 = -93.4
494 + -133x = -93.4 + 45x

Solving
494 + -133x = -93.4 + 45x

Solving for variable 'x'.

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

Add '-45x' to each side of the equation.
494 + -133x + -45x = -93.4 + 45x + -45x

Combine like terms: -133x + -45x = -178x
494 + -178x = -93.4 + 45x + -45x

Combine like terms: 45x + -45x = 0
494 + -178x = -93.4 + 0
494 + -178x = -93.4

Add '-494' to each side of the equation.
494 + -494 + -178x = -93.4 + -494

Combine like terms: 494 + -494 = 0
0 + -178x = -93.4 + -494
-178x = -93.4 + -494

Combine like terms: -93.4 + -494 = -587.4
-178x = -587.4

Divide each side by '-178'.
x = 3.3

Simplifying
x = 3.3

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