5(x-12)=9x-(2x+5)

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Solution for 5(x-12)=9x-(2x+5) equation:


Simplifying
5(x + -12) = 9x + -1(2x + 5)

Reorder the terms:
5(-12 + x) = 9x + -1(2x + 5)
(-12 * 5 + x * 5) = 9x + -1(2x + 5)
(-60 + 5x) = 9x + -1(2x + 5)

Reorder the terms:
-60 + 5x = 9x + -1(5 + 2x)
-60 + 5x = 9x + (5 * -1 + 2x * -1)
-60 + 5x = 9x + (-5 + -2x)

Reorder the terms:
-60 + 5x = -5 + 9x + -2x

Combine like terms: 9x + -2x = 7x
-60 + 5x = -5 + 7x

Solving
-60 + 5x = -5 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-60 + 5x + -7x = -5 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-60 + -2x = -5 + 7x + -7x

Combine like terms: 7x + -7x = 0
-60 + -2x = -5 + 0
-60 + -2x = -5

Add '60' to each side of the equation.
-60 + 60 + -2x = -5 + 60

Combine like terms: -60 + 60 = 0
0 + -2x = -5 + 60
-2x = -5 + 60

Combine like terms: -5 + 60 = 55
-2x = 55

Divide each side by '-2'.
x = -27.5

Simplifying
x = -27.5

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