3.8x+46.9=24.5-7.4x

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Solution for 3.8x+46.9=24.5-7.4x equation: 


Simplifying
3.8x + 46.9 = 24.5 + -7.4x

Reorder the terms:
46.9 + 3.8x = 24.5 + -7.4x

Solving
46.9 + 3.8x = 24.5 + -7.4x

Solving for variable 'x'.

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

Add '7.4x' to each side of the equation.
46.9 + 3.8x + 7.4x = 24.5 + -7.4x + 7.4x

Combine like terms: 3.8x + 7.4x = 11.2x
46.9 + 11.2x = 24.5 + -7.4x + 7.4x

Combine like terms: -7.4x + 7.4x = 0.0
46.9 + 11.2x = 24.5 + 0.0
46.9 + 11.2x = 24.5

Add '-46.9' to each side of the equation.
46.9 + -46.9 + 11.2x = 24.5 + -46.9

Combine like terms: 46.9 + -46.9 = 0.0
0.0 + 11.2x = 24.5 + -46.9
11.2x = 24.5 + -46.9

Combine like terms: 24.5 + -46.9 = -22.4
11.2x = -22.4

Divide each side by '11.2'.
x = -2

Simplifying
x = -2

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