32-(x+9)=6x-5

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Solution for 32-(x+9)=6x-5 equation:


Simplifying
32 + -1(x + 9) = 6x + -5

Reorder the terms:
32 + -1(9 + x) = 6x + -5
32 + (9 * -1 + x * -1) = 6x + -5
32 + (-9 + -1x) = 6x + -5

Combine like terms: 32 + -9 = 23
23 + -1x = 6x + -5

Reorder the terms:
23 + -1x = -5 + 6x

Solving
23 + -1x = -5 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
23 + -1x + -6x = -5 + 6x + -6x

Combine like terms: -1x + -6x = -7x
23 + -7x = -5 + 6x + -6x

Combine like terms: 6x + -6x = 0
23 + -7x = -5 + 0
23 + -7x = -5

Add '-23' to each side of the equation.
23 + -23 + -7x = -5 + -23

Combine like terms: 23 + -23 = 0
0 + -7x = -5 + -23
-7x = -5 + -23

Combine like terms: -5 + -23 = -28
-7x = -28

Divide each side by '-7'.
x = 4

Simplifying
x = 4

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