6x-33=47-4x

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Solution for 6x-33=47-4x equation:


Simplifying
6x + -33 = 47 + -4x

Reorder the terms:
-33 + 6x = 47 + -4x

Solving
-33 + 6x = 47 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-33 + 6x + 4x = 47 + -4x + 4x

Combine like terms: 6x + 4x = 10x
-33 + 10x = 47 + -4x + 4x

Combine like terms: -4x + 4x = 0
-33 + 10x = 47 + 0
-33 + 10x = 47

Add '33' to each side of the equation.
-33 + 33 + 10x = 47 + 33

Combine like terms: -33 + 33 = 0
0 + 10x = 47 + 33
10x = 47 + 33

Combine like terms: 47 + 33 = 80
10x = 80

Divide each side by '10'.
x = 8

Simplifying
x = 8

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