(5x-2)+4x=9x+6-2x

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Solution for (5x-2)+4x=9x+6-2x equation:


Simplifying
(5x + -2) + 4x = 9x + 6 + -2x

Reorder the terms:
(-2 + 5x) + 4x = 9x + 6 + -2x

Remove parenthesis around (-2 + 5x)
-2 + 5x + 4x = 9x + 6 + -2x

Combine like terms: 5x + 4x = 9x
-2 + 9x = 9x + 6 + -2x

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

Combine like terms: 9x + -2x = 7x
-2 + 9x = 6 + 7x

Solving
-2 + 9x = 6 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-2 + 9x + -7x = 6 + 7x + -7x

Combine like terms: 9x + -7x = 2x
-2 + 2x = 6 + 7x + -7x

Combine like terms: 7x + -7x = 0
-2 + 2x = 6 + 0
-2 + 2x = 6

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

Combine like terms: -2 + 2 = 0
0 + 2x = 6 + 2
2x = 6 + 2

Combine like terms: 6 + 2 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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