4.6x+0.5=1.2x+31.1

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Solution for 4.6x+0.5=1.2x+31.1 equation: 


Simplifying
4.6x + 0.5 = 1.2x + 31.1

Reorder the terms:
0.5 + 4.6x = 1.2x + 31.1

Reorder the terms:
0.5 + 4.6x = 31.1 + 1.2x

Solving
0.5 + 4.6x = 31.1 + 1.2x

Solving for variable 'x'.

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

Add '-1.2x' to each side of the equation.
0.5 + 4.6x + -1.2x = 31.1 + 1.2x + -1.2x

Combine like terms: 4.6x + -1.2x = 3.4x
0.5 + 3.4x = 31.1 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
0.5 + 3.4x = 31.1 + 0.0
0.5 + 3.4x = 31.1

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 3.4x = 31.1 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 3.4x = 31.1 + -0.5
3.4x = 31.1 + -0.5

Combine like terms: 31.1 + -0.5 = 30.6
3.4x = 30.6

Divide each side by '3.4'.
x = 9

Simplifying
x = 9

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