(3x+1)-(-3x-7)-9x=56

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Solution for (3x+1)-(-3x-7)-9x=56 equation:


Simplifying
(3x + 1) + -1(-3x + -7) + -9x = 56

Reorder the terms:
(1 + 3x) + -1(-3x + -7) + -9x = 56

Remove parenthesis around (1 + 3x)
1 + 3x + -1(-3x + -7) + -9x = 56

Reorder the terms:
1 + 3x + -1(-7 + -3x) + -9x = 56
1 + 3x + (-7 * -1 + -3x * -1) + -9x = 56
1 + 3x + (7 + 3x) + -9x = 56

Reorder the terms:
1 + 7 + 3x + 3x + -9x = 56

Combine like terms: 1 + 7 = 8
8 + 3x + 3x + -9x = 56

Combine like terms: 3x + 3x = 6x
8 + 6x + -9x = 56

Combine like terms: 6x + -9x = -3x
8 + -3x = 56

Solving
8 + -3x = 56

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + -3x = 56 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 56 + -8
-3x = 56 + -8

Combine like terms: 56 + -8 = 48
-3x = 48

Divide each side by '-3'.
x = -16

Simplifying
x = -16

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