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) = -1(7 + -9X) + -1(X + -9)

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

Combine like terms: 6 + 28 = 34
34 + -56X = -1(7 + -9X) + -1(X + -9)
34 + -56X = (7 * -1 + -9X * -1) + -1(X + -9)
34 + -56X = (-7 + 9X) + -1(X + -9)

Reorder the terms:
34 + -56X = -7 + 9X + -1(-9 + X)
34 + -56X = -7 + 9X + (-9 * -1 + X * -1)
34 + -56X = -7 + 9X + (9 + -1X)

Reorder the terms:
34 + -56X = -7 + 9 + 9X + -1X

Combine like terms: -7 + 9 = 2
34 + -56X = 2 + 9X + -1X

Combine like terms: 9X + -1X = 8X
34 + -56X = 2 + 8X

Solving
34 + -56X = 2 + 8X

Solving for variable 'X'.

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

Add '-8X' to each side of the equation.
34 + -56X + -8X = 2 + 8X + -8X

Combine like terms: -56X + -8X = -64X
34 + -64X = 2 + 8X + -8X

Combine like terms: 8X + -8X = 0
34 + -64X = 2 + 0
34 + -64X = 2

Add '-34' to each side of the equation.
34 + -34 + -64X = 2 + -34

Combine like terms: 34 + -34 = 0
0 + -64X = 2 + -34
-64X = 2 + -34

Combine like terms: 2 + -34 = -32
-64X = -32

Divide each side by '-64'.
X = 0.5

Simplifying
X = 0.5

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