9(x-3)=-5(x+2)+32

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Solution for 9(x-3)=-5(x+2)+32 equation:


Simplifying
9(x + -3) = -5(x + 2) + 32

Reorder the terms:
9(-3 + x) = -5(x + 2) + 32
(-3 * 9 + x * 9) = -5(x + 2) + 32
(-27 + 9x) = -5(x + 2) + 32

Reorder the terms:
-27 + 9x = -5(2 + x) + 32
-27 + 9x = (2 * -5 + x * -5) + 32
-27 + 9x = (-10 + -5x) + 32

Reorder the terms:
-27 + 9x = -10 + 32 + -5x

Combine like terms: -10 + 32 = 22
-27 + 9x = 22 + -5x

Solving
-27 + 9x = 22 + -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.
-27 + 9x + 5x = 22 + -5x + 5x

Combine like terms: 9x + 5x = 14x
-27 + 14x = 22 + -5x + 5x

Combine like terms: -5x + 5x = 0
-27 + 14x = 22 + 0
-27 + 14x = 22

Add '27' to each side of the equation.
-27 + 27 + 14x = 22 + 27

Combine like terms: -27 + 27 = 0
0 + 14x = 22 + 27
14x = 22 + 27

Combine like terms: 22 + 27 = 49
14x = 49

Divide each side by '14'.
x = 3.5

Simplifying
x = 3.5

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