116=-4x-7(x-4)

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Solution for 116=-4x-7(x-4) equation:


Simplifying
116 = -4x + -7(x + -4)

Reorder the terms:
116 = -4x + -7(-4 + x)
116 = -4x + (-4 * -7 + x * -7)
116 = -4x + (28 + -7x)

Reorder the terms:
116 = 28 + -4x + -7x

Combine like terms: -4x + -7x = -11x
116 = 28 + -11x

Solving
116 = 28 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
116 + 11x = 28 + -11x + 11x

Combine like terms: -11x + 11x = 0
116 + 11x = 28 + 0
116 + 11x = 28

Add '-116' to each side of the equation.
116 + -116 + 11x = 28 + -116

Combine like terms: 116 + -116 = 0
0 + 11x = 28 + -116
11x = 28 + -116

Combine like terms: 28 + -116 = -88
11x = -88

Divide each side by '11'.
x = -8

Simplifying
x = -8

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