(9x+2)-(3x-7)=0

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Solution for (9x+2)-(3x-7)=0 equation:


Simplifying
(9x + 2) + -1(3x + -7) = 0

Reorder the terms:
(2 + 9x) + -1(3x + -7) = 0

Remove parenthesis around (2 + 9x)
2 + 9x + -1(3x + -7) = 0

Reorder the terms:
2 + 9x + -1(-7 + 3x) = 0
2 + 9x + (-7 * -1 + 3x * -1) = 0
2 + 9x + (7 + -3x) = 0

Reorder the terms:
2 + 7 + 9x + -3x = 0

Combine like terms: 2 + 7 = 9
9 + 9x + -3x = 0

Combine like terms: 9x + -3x = 6x
9 + 6x = 0

Solving
9 + 6x = 0

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 6x = 0 + -9

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

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

Divide each side by '6'.
x = -1.5

Simplifying
x = -1.5

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