-6-7(8x-4)=(-7-9x)-(x-9)

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Solution for -6-7(8x-4)=(-7-9x)-(x-9) equation:


Simplifying
-6 + -7(8x + -4) = (-7 + -9x) + -1(x + -9)

Reorder the terms:
-6 + -7(-4 + 8x) = (-7 + -9x) + -1(x + -9)
-6 + (-4 * -7 + 8x * -7) = (-7 + -9x) + -1(x + -9)
-6 + (28 + -56x) = (-7 + -9x) + -1(x + -9)

Combine like terms: -6 + 28 = 22
22 + -56x = (-7 + -9x) + -1(x + -9)

Remove parenthesis around (-7 + -9x)
22 + -56x = -7 + -9x + -1(x + -9)

Reorder the terms:
22 + -56x = -7 + -9x + -1(-9 + x)
22 + -56x = -7 + -9x + (-9 * -1 + x * -1)
22 + -56x = -7 + -9x + (9 + -1x)

Reorder the terms:
22 + -56x = -7 + 9 + -9x + -1x

Combine like terms: -7 + 9 = 2
22 + -56x = 2 + -9x + -1x

Combine like terms: -9x + -1x = -10x
22 + -56x = 2 + -10x

Solving
22 + -56x = 2 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
22 + -56x + 10x = 2 + -10x + 10x

Combine like terms: -56x + 10x = -46x
22 + -46x = 2 + -10x + 10x

Combine like terms: -10x + 10x = 0
22 + -46x = 2 + 0
22 + -46x = 2

Add '-22' to each side of the equation.
22 + -22 + -46x = 2 + -22

Combine like terms: 22 + -22 = 0
0 + -46x = 2 + -22
-46x = 2 + -22

Combine like terms: 2 + -22 = -20
-46x = -20

Divide each side by '-46'.
x = 0.4347826087

Simplifying
x = 0.4347826087

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