32(30-6.5x)=14(6x-8)+47.2

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Solution for 32(30-6.5x)=14(6x-8)+47.2 equation:


Simplifying
32(30 + -6.5x) = 14(6x + -8) + 47.2
(30 * 32 + -6.5x * 32) = 14(6x + -8) + 47.2
(960 + -208x) = 14(6x + -8) + 47.2

Reorder the terms:
960 + -208x = 14(-8 + 6x) + 47.2
960 + -208x = (-8 * 14 + 6x * 14) + 47.2
960 + -208x = (-112 + 84x) + 47.2

Reorder the terms:
960 + -208x = -112 + 47.2 + 84x

Combine like terms: -112 + 47.2 = -64.8
960 + -208x = -64.8 + 84x

Solving
960 + -208x = -64.8 + 84x

Solving for variable 'x'.

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

Add '-84x' to each side of the equation.
960 + -208x + -84x = -64.8 + 84x + -84x

Combine like terms: -208x + -84x = -292x
960 + -292x = -64.8 + 84x + -84x

Combine like terms: 84x + -84x = 0
960 + -292x = -64.8 + 0
960 + -292x = -64.8

Add '-960' to each side of the equation.
960 + -960 + -292x = -64.8 + -960

Combine like terms: 960 + -960 = 0
0 + -292x = -64.8 + -960
-292x = -64.8 + -960

Combine like terms: -64.8 + -960 = -1024.8
-292x = -1024.8

Divide each side by '-292'.
x = 3.509589041

Simplifying
x = 3.509589041

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