7x-16=-5(x+8)

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Solution for 7x-16=-5(x+8) equation:


Simplifying
7x + -16 = -5(x + 8)

Reorder the terms:
-16 + 7x = -5(x + 8)

Reorder the terms:
-16 + 7x = -5(8 + x)
-16 + 7x = (8 * -5 + x * -5)
-16 + 7x = (-40 + -5x)

Solving
-16 + 7x = -40 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-16 + 7x + 5x = -40 + -5x + 5x

Combine like terms: 7x + 5x = 12x
-16 + 12x = -40 + -5x + 5x

Combine like terms: -5x + 5x = 0
-16 + 12x = -40 + 0
-16 + 12x = -40

Add '16' to each side of the equation.
-16 + 16 + 12x = -40 + 16

Combine like terms: -16 + 16 = 0
0 + 12x = -40 + 16
12x = -40 + 16

Combine like terms: -40 + 16 = -24
12x = -24

Divide each side by '12'.
x = -2

Simplifying
x = -2

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