5(9-x)-12=4(x+15)

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Solution for 5(9-x)-12=4(x+15) equation:


Simplifying
5(9 + -1x) + -12 = 4(x + 15)
(9 * 5 + -1x * 5) + -12 = 4(x + 15)
(45 + -5x) + -12 = 4(x + 15)

Reorder the terms:
45 + -12 + -5x = 4(x + 15)

Combine like terms: 45 + -12 = 33
33 + -5x = 4(x + 15)

Reorder the terms:
33 + -5x = 4(15 + x)
33 + -5x = (15 * 4 + x * 4)
33 + -5x = (60 + 4x)

Solving
33 + -5x = 60 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
33 + -5x + -4x = 60 + 4x + -4x

Combine like terms: -5x + -4x = -9x
33 + -9x = 60 + 4x + -4x

Combine like terms: 4x + -4x = 0
33 + -9x = 60 + 0
33 + -9x = 60

Add '-33' to each side of the equation.
33 + -33 + -9x = 60 + -33

Combine like terms: 33 + -33 = 0
0 + -9x = 60 + -33
-9x = 60 + -33

Combine like terms: 60 + -33 = 27
-9x = 27

Divide each side by '-9'.
x = -3

Simplifying
x = -3

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