4.9x+40.5=11.5-9.6x

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Solution for 4.9x+40.5=11.5-9.6x equation: 


Simplifying
4.9x + 40.5 = 11.5 + -9.6x

Reorder the terms:
40.5 + 4.9x = 11.5 + -9.6x

Solving
40.5 + 4.9x = 11.5 + -9.6x

Solving for variable 'x'.

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

Add '9.6x' to each side of the equation.
40.5 + 4.9x + 9.6x = 11.5 + -9.6x + 9.6x

Combine like terms: 4.9x + 9.6x = 14.5x
40.5 + 14.5x = 11.5 + -9.6x + 9.6x

Combine like terms: -9.6x + 9.6x = 0.0
40.5 + 14.5x = 11.5 + 0.0
40.5 + 14.5x = 11.5

Add '-40.5' to each side of the equation.
40.5 + -40.5 + 14.5x = 11.5 + -40.5

Combine like terms: 40.5 + -40.5 = 0.0
0.0 + 14.5x = 11.5 + -40.5
14.5x = 11.5 + -40.5

Combine like terms: 11.5 + -40.5 = -29
14.5x = -29

Divide each side by '14.5'.
x = -2

Simplifying
x = -2

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