9x-5(x+4)=7(x-8)-24+x

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Solution for 9x-5(x+4)=7(x-8)-24+x equation:


Simplifying
9x + -5(x + 4) = 7(x + -8) + -24 + x

Reorder the terms:
9x + -5(4 + x) = 7(x + -8) + -24 + x
9x + (4 * -5 + x * -5) = 7(x + -8) + -24 + x
9x + (-20 + -5x) = 7(x + -8) + -24 + x

Reorder the terms:
-20 + 9x + -5x = 7(x + -8) + -24 + x

Combine like terms: 9x + -5x = 4x
-20 + 4x = 7(x + -8) + -24 + x

Reorder the terms:
-20 + 4x = 7(-8 + x) + -24 + x
-20 + 4x = (-8 * 7 + x * 7) + -24 + x
-20 + 4x = (-56 + 7x) + -24 + x

Reorder the terms:
-20 + 4x = -56 + -24 + 7x + x

Combine like terms: -56 + -24 = -80
-20 + 4x = -80 + 7x + x

Combine like terms: 7x + x = 8x
-20 + 4x = -80 + 8x

Solving
-20 + 4x = -80 + 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.
-20 + 4x + -8x = -80 + 8x + -8x

Combine like terms: 4x + -8x = -4x
-20 + -4x = -80 + 8x + -8x

Combine like terms: 8x + -8x = 0
-20 + -4x = -80 + 0
-20 + -4x = -80

Add '20' to each side of the equation.
-20 + 20 + -4x = -80 + 20

Combine like terms: -20 + 20 = 0
0 + -4x = -80 + 20
-4x = -80 + 20

Combine like terms: -80 + 20 = -60
-4x = -60

Divide each side by '-4'.
x = 15

Simplifying
x = 15

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