(x+32)+(x+32)=6x-28

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Solution for (x+32)+(x+32)=6x-28 equation:


Simplifying
(x + 32) + (x + 32) = 6x + -28

Reorder the terms:
(32 + x) + (x + 32) = 6x + -28

Remove parenthesis around (32 + x)
32 + x + (x + 32) = 6x + -28

Reorder the terms:
32 + x + (32 + x) = 6x + -28

Remove parenthesis around (32 + x)
32 + x + 32 + x = 6x + -28

Reorder the terms:
32 + 32 + x + x = 6x + -28

Combine like terms: 32 + 32 = 64
64 + x + x = 6x + -28

Combine like terms: x + x = 2x
64 + 2x = 6x + -28

Reorder the terms:
64 + 2x = -28 + 6x

Solving
64 + 2x = -28 + 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.
64 + 2x + -6x = -28 + 6x + -6x

Combine like terms: 2x + -6x = -4x
64 + -4x = -28 + 6x + -6x

Combine like terms: 6x + -6x = 0
64 + -4x = -28 + 0
64 + -4x = -28

Add '-64' to each side of the equation.
64 + -64 + -4x = -28 + -64

Combine like terms: 64 + -64 = 0
0 + -4x = -28 + -64
-4x = -28 + -64

Combine like terms: -28 + -64 = -92
-4x = -92

Divide each side by '-4'.
x = 23

Simplifying
x = 23

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