50=-5(3x+8)-(7x-24)

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Solution for 50=-5(3x+8)-(7x-24) equation:


Simplifying
50 = -5(3x + 8) + -1(7x + -24)

Reorder the terms:
50 = -5(8 + 3x) + -1(7x + -24)
50 = (8 * -5 + 3x * -5) + -1(7x + -24)
50 = (-40 + -15x) + -1(7x + -24)

Reorder the terms:
50 = -40 + -15x + -1(-24 + 7x)
50 = -40 + -15x + (-24 * -1 + 7x * -1)
50 = -40 + -15x + (24 + -7x)

Reorder the terms:
50 = -40 + 24 + -15x + -7x

Combine like terms: -40 + 24 = -16
50 = -16 + -15x + -7x

Combine like terms: -15x + -7x = -22x
50 = -16 + -22x

Solving
50 = -16 + -22x

Solving for variable 'x'.

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

Add '22x' to each side of the equation.
50 + 22x = -16 + -22x + 22x

Combine like terms: -22x + 22x = 0
50 + 22x = -16 + 0
50 + 22x = -16

Add '-50' to each side of the equation.
50 + -50 + 22x = -16 + -50

Combine like terms: 50 + -50 = 0
0 + 22x = -16 + -50
22x = -16 + -50

Combine like terms: -16 + -50 = -66
22x = -66

Divide each side by '22'.
x = -3

Simplifying
x = -3

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