4.7x+45.7=2.5-6.1x

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Solution for 4.7x+45.7=2.5-6.1x equation: 


Simplifying
4.7x + 45.7 = 2.5 + -6.1x

Reorder the terms:
45.7 + 4.7x = 2.5 + -6.1x

Solving
45.7 + 4.7x = 2.5 + -6.1x

Solving for variable 'x'.

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

Add '6.1x' to each side of the equation.
45.7 + 4.7x + 6.1x = 2.5 + -6.1x + 6.1x

Combine like terms: 4.7x + 6.1x = 10.8x
45.7 + 10.8x = 2.5 + -6.1x + 6.1x

Combine like terms: -6.1x + 6.1x = 0.0
45.7 + 10.8x = 2.5 + 0.0
45.7 + 10.8x = 2.5

Add '-45.7' to each side of the equation.
45.7 + -45.7 + 10.8x = 2.5 + -45.7

Combine like terms: 45.7 + -45.7 = 0.0
0.0 + 10.8x = 2.5 + -45.7
10.8x = 2.5 + -45.7

Combine like terms: 2.5 + -45.7 = -43.2
10.8x = -43.2

Divide each side by '10.8'.
x = -4

Simplifying
x = -4

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