2x+6+4x-8=10-9x+33

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Solution for 2x+6+4x-8=10-9x+33 equation: 


Simplifying
2x + 6 + 4x + -8 = 10 + -9x + 33

Reorder the terms:
6 + -8 + 2x + 4x = 10 + -9x + 33

Combine like terms: 6 + -8 = -2
-2 + 2x + 4x = 10 + -9x + 33

Combine like terms: 2x + 4x = 6x
-2 + 6x = 10 + -9x + 33

Reorder the terms:
-2 + 6x = 10 + 33 + -9x

Combine like terms: 10 + 33 = 43
-2 + 6x = 43 + -9x

Solving
-2 + 6x = 43 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-2 + 6x + 9x = 43 + -9x + 9x

Combine like terms: 6x + 9x = 15x
-2 + 15x = 43 + -9x + 9x

Combine like terms: -9x + 9x = 0
-2 + 15x = 43 + 0
-2 + 15x = 43

Add '2' to each side of the equation.
-2 + 2 + 15x = 43 + 2

Combine like terms: -2 + 2 = 0
0 + 15x = 43 + 2
15x = 43 + 2

Combine like terms: 43 + 2 = 45
15x = 45

Divide each side by '15'.
x = 3

Simplifying
x = 3

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