5.1x-11.4=-.9x-17.4

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Solution for 5.1x-11.4=-.9x-17.4 equation: 


Simplifying
5.1x + -11.4 = -0.9x + -17.4

Reorder the terms:
-11.4 + 5.1x = -0.9x + -17.4

Reorder the terms:
-11.4 + 5.1x = -17.4 + -0.9x

Solving
-11.4 + 5.1x = -17.4 + -0.9x

Solving for variable 'x'.

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

Add '0.9x' to each side of the equation.
-11.4 + 5.1x + 0.9x = -17.4 + -0.9x + 0.9x

Combine like terms: 5.1x + 0.9x = 6x
-11.4 + 6x = -17.4 + -0.9x + 0.9x

Combine like terms: -0.9x + 0.9x = 0.0
-11.4 + 6x = -17.4 + 0.0
-11.4 + 6x = -17.4

Add '11.4' to each side of the equation.
-11.4 + 11.4 + 6x = -17.4 + 11.4

Combine like terms: -11.4 + 11.4 = 0.0
0.0 + 6x = -17.4 + 11.4
6x = -17.4 + 11.4

Combine like terms: -17.4 + 11.4 = -6
6x = -6

Divide each side by '6'.
x = -1

Simplifying
x = -1

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