16.4+0.5x=9.4-1.1x+12

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Solution for 16.4+0.5x=9.4-1.1x+12 equation:


Simplifying
16.4 + 0.5x = 9.4 + -1.1x + 12

Reorder the terms:
16.4 + 0.5x = 9.4 + 12 + -1.1x

Combine like terms: 9.4 + 12 = 21.4
16.4 + 0.5x = 21.4 + -1.1x

Solving
16.4 + 0.5x = 21.4 + -1.1x

Solving for variable 'x'.

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

Add '1.1x' to each side of the equation.
16.4 + 0.5x + 1.1x = 21.4 + -1.1x + 1.1x

Combine like terms: 0.5x + 1.1x = 1.6x
16.4 + 1.6x = 21.4 + -1.1x + 1.1x

Combine like terms: -1.1x + 1.1x = 0.0
16.4 + 1.6x = 21.4 + 0.0
16.4 + 1.6x = 21.4

Add '-16.4' to each side of the equation.
16.4 + -16.4 + 1.6x = 21.4 + -16.4

Combine like terms: 16.4 + -16.4 = 0.0
0.0 + 1.6x = 21.4 + -16.4
1.6x = 21.4 + -16.4

Combine like terms: 21.4 + -16.4 = 5
1.6x = 5

Divide each side by '1.6'.
x = 3.125

Simplifying
x = 3.125

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