x-11=7x-5

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Solution for x-11=7x-5 equation:


Simplifying
x + -11 = 7x + -5

Reorder the terms:
-11 + x = 7x + -5

Reorder the terms:
-11 + x = -5 + 7x

Solving
-11 + x = -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.
-11 + x + -7x = -5 + 7x + -7x

Combine like terms: x + -7x = -6x
-11 + -6x = -5 + 7x + -7x

Combine like terms: 7x + -7x = 0
-11 + -6x = -5 + 0
-11 + -6x = -5

Add '11' to each side of the equation.
-11 + 11 + -6x = -5 + 11

Combine like terms: -11 + 11 = 0
0 + -6x = -5 + 11
-6x = -5 + 11

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

Divide each side by '-6'.
x = -1

Simplifying
x = -1

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