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

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


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

Reorder the terms:
9 + 8x = -7(7 + 8x) + -6
9 + 8x = (7 * -7 + 8x * -7) + -6
9 + 8x = (-49 + -56x) + -6

Reorder the terms:
9 + 8x = -49 + -6 + -56x

Combine like terms: -49 + -6 = -55
9 + 8x = -55 + -56x

Solving
9 + 8x = -55 + -56x

Solving for variable 'x'.

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

Add '56x' to each side of the equation.
9 + 8x + 56x = -55 + -56x + 56x

Combine like terms: 8x + 56x = 64x
9 + 64x = -55 + -56x + 56x

Combine like terms: -56x + 56x = 0
9 + 64x = -55 + 0
9 + 64x = -55

Add '-9' to each side of the equation.
9 + -9 + 64x = -55 + -9

Combine like terms: 9 + -9 = 0
0 + 64x = -55 + -9
64x = -55 + -9

Combine like terms: -55 + -9 = -64
64x = -64

Divide each side by '64'.
x = -1

Simplifying
x = -1

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