6.1x-5.4=-0.5x+1.2

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Solution for 6.1x-5.4=-0.5x+1.2 equation: 


Simplifying
6.1x + -5.4 = -0.5x + 1.2

Reorder the terms:
-5.4 + 6.1x = -0.5x + 1.2

Reorder the terms:
-5.4 + 6.1x = 1.2 + -0.5x

Solving
-5.4 + 6.1x = 1.2 + -0.5x

Solving for variable 'x'.

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

Add '0.5x' to each side of the equation.
-5.4 + 6.1x + 0.5x = 1.2 + -0.5x + 0.5x

Combine like terms: 6.1x + 0.5x = 6.6x
-5.4 + 6.6x = 1.2 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
-5.4 + 6.6x = 1.2 + 0.0
-5.4 + 6.6x = 1.2

Add '5.4' to each side of the equation.
-5.4 + 5.4 + 6.6x = 1.2 + 5.4

Combine like terms: -5.4 + 5.4 = 0.0
0.0 + 6.6x = 1.2 + 5.4
6.6x = 1.2 + 5.4

Combine like terms: 1.2 + 5.4 = 6.6
6.6x = 6.6

Divide each side by '6.6'.
x = 1

Simplifying
x = 1

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