x+5x+6=x+6x+5

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Solution for x+5x+6=x+6x+5 equation:


Simplifying
x + 5x + 6 = x + 6x + 5

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

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

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

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

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

Combine like terms: 6x + -7x = -1x
6 + -1x = 5 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + -1x = 5 + 0
6 + -1x = 5

Add '-6' to each side of the equation.
6 + -6 + -1x = 5 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 5 + -6
-1x = 5 + -6

Combine like terms: 5 + -6 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1

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