(6x+7)-(-3x+9)=16

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Solution for (6x+7)-(-3x+9)=16 equation:


Simplifying
(6x + 7) + -1(-3x + 9) = 16

Reorder the terms:
(7 + 6x) + -1(-3x + 9) = 16

Remove parenthesis around (7 + 6x)
7 + 6x + -1(-3x + 9) = 16

Reorder the terms:
7 + 6x + -1(9 + -3x) = 16
7 + 6x + (9 * -1 + -3x * -1) = 16
7 + 6x + (-9 + 3x) = 16

Reorder the terms:
7 + -9 + 6x + 3x = 16

Combine like terms: 7 + -9 = -2
-2 + 6x + 3x = 16

Combine like terms: 6x + 3x = 9x
-2 + 9x = 16

Solving
-2 + 9x = 16

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 9x = 16 + 2

Combine like terms: -2 + 2 = 0
0 + 9x = 16 + 2
9x = 16 + 2

Combine like terms: 16 + 2 = 18
9x = 18

Divide each side by '9'.
x = 2

Simplifying
x = 2

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