x-5=6-7x

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Solution for x-5=6-7x equation:


Simplifying
x + -5 = 6 + -7x

Reorder the terms:
-5 + x = 6 + -7x

Solving
-5 + x = 6 + -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.
-5 + x + 7x = 6 + -7x + 7x

Combine like terms: x + 7x = 8x
-5 + 8x = 6 + -7x + 7x

Combine like terms: -7x + 7x = 0
-5 + 8x = 6 + 0
-5 + 8x = 6

Add '5' to each side of the equation.
-5 + 5 + 8x = 6 + 5

Combine like terms: -5 + 5 = 0
0 + 8x = 6 + 5
8x = 6 + 5

Combine like terms: 6 + 5 = 11
8x = 11

Divide each side by '8'.
x = 1.375

Simplifying
x = 1.375

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