4.7x+57.4=8.2-7.6x

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Solution for 4.7x+57.4=8.2-7.6x equation: 


Simplifying
4.7x + 57.4 = 8.2 + -7.6x

Reorder the terms:
57.4 + 4.7x = 8.2 + -7.6x

Solving
57.4 + 4.7x = 8.2 + -7.6x

Solving for variable 'x'.

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

Add '7.6x' to each side of the equation.
57.4 + 4.7x + 7.6x = 8.2 + -7.6x + 7.6x

Combine like terms: 4.7x + 7.6x = 12.3x
57.4 + 12.3x = 8.2 + -7.6x + 7.6x

Combine like terms: -7.6x + 7.6x = 0.0
57.4 + 12.3x = 8.2 + 0.0
57.4 + 12.3x = 8.2

Add '-57.4' to each side of the equation.
57.4 + -57.4 + 12.3x = 8.2 + -57.4

Combine like terms: 57.4 + -57.4 = 0.0
0.0 + 12.3x = 8.2 + -57.4
12.3x = 8.2 + -57.4

Combine like terms: 8.2 + -57.4 = -49.2
12.3x = -49.2

Divide each side by '12.3'.
x = -4

Simplifying
x = -4

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