2x+(5x-2)=7x+9-x

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Solution for 2x+(5x-2)=7x+9-x equation:


Simplifying
2x + (5x + -2) = 7x + 9 + -1x

Reorder the terms:
2x + (-2 + 5x) = 7x + 9 + -1x

Remove parenthesis around (-2 + 5x)
2x + -2 + 5x = 7x + 9 + -1x

Reorder the terms:
-2 + 2x + 5x = 7x + 9 + -1x

Combine like terms: 2x + 5x = 7x
-2 + 7x = 7x + 9 + -1x

Reorder the terms:
-2 + 7x = 9 + 7x + -1x

Combine like terms: 7x + -1x = 6x
-2 + 7x = 9 + 6x

Solving
-2 + 7x = 9 + 6x

Solving for variable 'x'.

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

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

Combine like terms: 7x + -6x = 1x
-2 + 1x = 9 + 6x + -6x

Combine like terms: 6x + -6x = 0
-2 + 1x = 9 + 0
-2 + 1x = 9

Add '2' to each side of the equation.
-2 + 2 + 1x = 9 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = 9 + 2
1x = 9 + 2

Combine like terms: 9 + 2 = 11
1x = 11

Divide each side by '1'.
x = 11

Simplifying
x = 11

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