6x-32=10-x

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Solution for 6x-32=10-x equation:


Simplifying
6x + -32 = 10 + -1x

Reorder the terms:
-32 + 6x = 10 + -1x

Solving
-32 + 6x = 10 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-32 + 6x + x = 10 + -1x + x

Combine like terms: 6x + x = 7x
-32 + 7x = 10 + -1x + x

Combine like terms: -1x + x = 0
-32 + 7x = 10 + 0
-32 + 7x = 10

Add '32' to each side of the equation.
-32 + 32 + 7x = 10 + 32

Combine like terms: -32 + 32 = 0
0 + 7x = 10 + 32
7x = 10 + 32

Combine like terms: 10 + 32 = 42
7x = 42

Divide each side by '7'.
x = 6

Simplifying
x = 6

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