0.3x+4.2=0.2x+5.1

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Solution for 0.3x+4.2=0.2x+5.1 equation: 


Simplifying
0.3x + 4.2 = 0.2x + 5.1

Reorder the terms:
4.2 + 0.3x = 0.2x + 5.1

Reorder the terms:
4.2 + 0.3x = 5.1 + 0.2x

Solving
4.2 + 0.3x = 5.1 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
4.2 + 0.3x + -0.2x = 5.1 + 0.2x + -0.2x

Combine like terms: 0.3x + -0.2x = 0.1x
4.2 + 0.1x = 5.1 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
4.2 + 0.1x = 5.1 + 0.0
4.2 + 0.1x = 5.1

Add '-4.2' to each side of the equation.
4.2 + -4.2 + 0.1x = 5.1 + -4.2

Combine like terms: 4.2 + -4.2 = 0.0
0.0 + 0.1x = 5.1 + -4.2
0.1x = 5.1 + -4.2

Combine like terms: 5.1 + -4.2 = 0.9
0.1x = 0.9

Divide each side by '0.1'.
x = 9

Simplifying
x = 9

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