4x-6+x=46.5

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Solution for 4x-6+x=46.5 equation: 


Simplifying
4x + -6 + x = 46.5

Reorder the terms:
-6 + 4x + x = 46.5

Combine like terms: 4x + x = 5x
-6 + 5x = 46.5

Solving
-6 + 5x = 46.5

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 5x = 46.5 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 46.5 + 6
5x = 46.5 + 6

Combine like terms: 46.5 + 6 = 52.5
5x = 52.5

Divide each side by '5'.
x = 10.5

Simplifying
x = 10.5

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