5.2x-6.1+9x=9.2x-28.6

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Solution for 5.2x-6.1+9x=9.2x-28.6 equation:


Simplifying
5.2x + -6.1 + 9x = 9.2x + -28.6

Reorder the terms:
-6.1 + 5.2x + 9x = 9.2x + -28.6

Combine like terms: 5.2x + 9x = 14.2x
-6.1 + 14.2x = 9.2x + -28.6

Reorder the terms:
-6.1 + 14.2x = -28.6 + 9.2x

Solving
-6.1 + 14.2x = -28.6 + 9.2x

Solving for variable 'x'.

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

Add '-9.2x' to each side of the equation.
-6.1 + 14.2x + -9.2x = -28.6 + 9.2x + -9.2x

Combine like terms: 14.2x + -9.2x = 5x
-6.1 + 5x = -28.6 + 9.2x + -9.2x

Combine like terms: 9.2x + -9.2x = 0.0
-6.1 + 5x = -28.6 + 0.0
-6.1 + 5x = -28.6

Add '6.1' to each side of the equation.
-6.1 + 6.1 + 5x = -28.6 + 6.1

Combine like terms: -6.1 + 6.1 = 0.0
0.0 + 5x = -28.6 + 6.1
5x = -28.6 + 6.1

Combine like terms: -28.6 + 6.1 = -22.5
5x = -22.5

Divide each side by '5'.
x = -4.5

Simplifying
x = -4.5

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