4.8x+37.5=4.2-6.3x

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Solution for 4.8x+37.5=4.2-6.3x equation: 


Simplifying
4.8x + 37.5 = 4.2 + -6.3x

Reorder the terms:
37.5 + 4.8x = 4.2 + -6.3x

Solving
37.5 + 4.8x = 4.2 + -6.3x

Solving for variable 'x'.

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

Add '6.3x' to each side of the equation.
37.5 + 4.8x + 6.3x = 4.2 + -6.3x + 6.3x

Combine like terms: 4.8x + 6.3x = 11.1x
37.5 + 11.1x = 4.2 + -6.3x + 6.3x

Combine like terms: -6.3x + 6.3x = 0.0
37.5 + 11.1x = 4.2 + 0.0
37.5 + 11.1x = 4.2

Add '-37.5' to each side of the equation.
37.5 + -37.5 + 11.1x = 4.2 + -37.5

Combine like terms: 37.5 + -37.5 = 0.0
0.0 + 11.1x = 4.2 + -37.5
11.1x = 4.2 + -37.5

Combine like terms: 4.2 + -37.5 = -33.3
11.1x = -33.3

Divide each side by '11.1'.
x = -3

Simplifying
x = -3

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