(2x+9)-(4x+7)-6x=76

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Solution for (2x+9)-(4x+7)-6x=76 equation:


Simplifying
(2x + 9) + -1(4x + 7) + -6x = 76

Reorder the terms:
(9 + 2x) + -1(4x + 7) + -6x = 76

Remove parenthesis around (9 + 2x)
9 + 2x + -1(4x + 7) + -6x = 76

Reorder the terms:
9 + 2x + -1(7 + 4x) + -6x = 76
9 + 2x + (7 * -1 + 4x * -1) + -6x = 76
9 + 2x + (-7 + -4x) + -6x = 76

Reorder the terms:
9 + -7 + 2x + -4x + -6x = 76

Combine like terms: 9 + -7 = 2
2 + 2x + -4x + -6x = 76

Combine like terms: 2x + -4x = -2x
2 + -2x + -6x = 76

Combine like terms: -2x + -6x = -8x
2 + -8x = 76

Solving
2 + -8x = 76

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 + -8x = 76 + -2

Combine like terms: 2 + -2 = 0
0 + -8x = 76 + -2
-8x = 76 + -2

Combine like terms: 76 + -2 = 74
-8x = 74

Divide each side by '-8'.
x = -9.25

Simplifying
x = -9.25

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