32-(x+6)=6x-2

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Solution for 32-(x+6)=6x-2 equation:


Simplifying
32 + -1(x + 6) = 6x + -2

Reorder the terms:
32 + -1(6 + x) = 6x + -2
32 + (6 * -1 + x * -1) = 6x + -2
32 + (-6 + -1x) = 6x + -2

Combine like terms: 32 + -6 = 26
26 + -1x = 6x + -2

Reorder the terms:
26 + -1x = -2 + 6x

Solving
26 + -1x = -2 + 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.
26 + -1x + -6x = -2 + 6x + -6x

Combine like terms: -1x + -6x = -7x
26 + -7x = -2 + 6x + -6x

Combine like terms: 6x + -6x = 0
26 + -7x = -2 + 0
26 + -7x = -2

Add '-26' to each side of the equation.
26 + -26 + -7x = -2 + -26

Combine like terms: 26 + -26 = 0
0 + -7x = -2 + -26
-7x = -2 + -26

Combine like terms: -2 + -26 = -28
-7x = -28

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

Simplifying
x = 4

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