(-400)=(-8)((-7x)-6)

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Solution for (-400)=(-8)((-7x)-6) equation: 


Simplifying
(-400) = (-8)((-7x) + -6)
-400 = (-8)((-7x) + -6)

Reorder the terms:
-400 = -8(-6 + (-7x))
-400 = (-6 * -8 + (-7x) * -8)
-400 = (48 + 56x)

Solving
-400 = 48 + 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.
-400 + -56x = 48 + 56x + -56x

Combine like terms: 56x + -56x = 0
-400 + -56x = 48 + 0
-400 + -56x = 48

Add '400' to each side of the equation.
-400 + 400 + -56x = 48 + 400

Combine like terms: -400 + 400 = 0
0 + -56x = 48 + 400
-56x = 48 + 400

Combine like terms: 48 + 400 = 448
-56x = 448

Divide each side by '-56'.
x = -8

Simplifying
x = -8

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