x-7=7x-13

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Solution for x-7=7x-13 equation:


Simplifying
x + -7 = 7x + -13

Reorder the terms:
-7 + x = 7x + -13

Reorder the terms:
-7 + x = -13 + 7x

Solving
-7 + x = -13 + 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.
-7 + x + -7x = -13 + 7x + -7x

Combine like terms: x + -7x = -6x
-7 + -6x = -13 + 7x + -7x

Combine like terms: 7x + -7x = 0
-7 + -6x = -13 + 0
-7 + -6x = -13

Add '7' to each side of the equation.
-7 + 7 + -6x = -13 + 7

Combine like terms: -7 + 7 = 0
0 + -6x = -13 + 7
-6x = -13 + 7

Combine like terms: -13 + 7 = -6
-6x = -6

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

Simplifying
x = 1

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