-9+6(x-7)=-8+7(5+12x)

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Solution for -9+6(x-7)=-8+7(5+12x) equation:


Simplifying
-9 + 6(x + -7) = -8 + 7(5 + 12x)

Reorder the terms:
-9 + 6(-7 + x) = -8 + 7(5 + 12x)
-9 + (-7 * 6 + x * 6) = -8 + 7(5 + 12x)
-9 + (-42 + 6x) = -8 + 7(5 + 12x)

Combine like terms: -9 + -42 = -51
-51 + 6x = -8 + 7(5 + 12x)
-51 + 6x = -8 + (5 * 7 + 12x * 7)
-51 + 6x = -8 + (35 + 84x)

Combine like terms: -8 + 35 = 27
-51 + 6x = 27 + 84x

Solving
-51 + 6x = 27 + 84x

Solving for variable 'x'.

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

Add '-84x' to each side of the equation.
-51 + 6x + -84x = 27 + 84x + -84x

Combine like terms: 6x + -84x = -78x
-51 + -78x = 27 + 84x + -84x

Combine like terms: 84x + -84x = 0
-51 + -78x = 27 + 0
-51 + -78x = 27

Add '51' to each side of the equation.
-51 + 51 + -78x = 27 + 51

Combine like terms: -51 + 51 = 0
0 + -78x = 27 + 51
-78x = 27 + 51

Combine like terms: 27 + 51 = 78
-78x = 78

Divide each side by '-78'.
x = -1

Simplifying
x = -1

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