x-6=10-7x

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Solution for x-6=10-7x equation:


Simplifying
x + -6 = 10 + -7x

Reorder the terms:
-6 + x = 10 + -7x

Solving
-6 + x = 10 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-6 + x + 7x = 10 + -7x + 7x

Combine like terms: x + 7x = 8x
-6 + 8x = 10 + -7x + 7x

Combine like terms: -7x + 7x = 0
-6 + 8x = 10 + 0
-6 + 8x = 10

Add '6' to each side of the equation.
-6 + 6 + 8x = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 8x = 10 + 6
8x = 10 + 6

Combine like terms: 10 + 6 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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