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

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


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

Reorder the terms:
32 + -2(3 + x) = 3(x + -3)
32 + (3 * -2 + x * -2) = 3(x + -3)
32 + (-6 + -2x) = 3(x + -3)

Combine like terms: 32 + -6 = 26
26 + -2x = 3(x + -3)

Reorder the terms:
26 + -2x = 3(-3 + x)
26 + -2x = (-3 * 3 + x * 3)
26 + -2x = (-9 + 3x)

Solving
26 + -2x = -9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
26 + -2x + -3x = -9 + 3x + -3x

Combine like terms: -2x + -3x = -5x
26 + -5x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
26 + -5x = -9 + 0
26 + -5x = -9

Add '-26' to each side of the equation.
26 + -26 + -5x = -9 + -26

Combine like terms: 26 + -26 = 0
0 + -5x = -9 + -26
-5x = -9 + -26

Combine like terms: -9 + -26 = -35
-5x = -35

Divide each side by '-5'.
x = 7

Simplifying
x = 7

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