34(19-5.5x)=16(5x-8)+53.1

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Solution for 34(19-5.5x)=16(5x-8)+53.1 equation:


Simplifying
34(19 + -5.5x) = 16(5x + -8) + 53.1
(19 * 34 + -5.5x * 34) = 16(5x + -8) + 53.1
(646 + -187x) = 16(5x + -8) + 53.1

Reorder the terms:
646 + -187x = 16(-8 + 5x) + 53.1
646 + -187x = (-8 * 16 + 5x * 16) + 53.1
646 + -187x = (-128 + 80x) + 53.1

Reorder the terms:
646 + -187x = -128 + 53.1 + 80x

Combine like terms: -128 + 53.1 = -74.9
646 + -187x = -74.9 + 80x

Solving
646 + -187x = -74.9 + 80x

Solving for variable 'x'.

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

Add '-80x' to each side of the equation.
646 + -187x + -80x = -74.9 + 80x + -80x

Combine like terms: -187x + -80x = -267x
646 + -267x = -74.9 + 80x + -80x

Combine like terms: 80x + -80x = 0
646 + -267x = -74.9 + 0
646 + -267x = -74.9

Add '-646' to each side of the equation.
646 + -646 + -267x = -74.9 + -646

Combine like terms: 646 + -646 = 0
0 + -267x = -74.9 + -646
-267x = -74.9 + -646

Combine like terms: -74.9 + -646 = -720.9
-267x = -720.9

Divide each side by '-267'.
x = 2.7

Simplifying
x = 2.7

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