x+7=7x-17

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Solution for x+7=7x-17 equation:


Simplifying
x + 7 = 7x + -17

Reorder the terms:
7 + x = 7x + -17

Reorder the terms:
7 + x = -17 + 7x

Solving
7 + x = -17 + 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 = -17 + 7x + -7x

Combine like terms: x + -7x = -6x
7 + -6x = -17 + 7x + -7x

Combine like terms: 7x + -7x = 0
7 + -6x = -17 + 0
7 + -6x = -17

Add '-7' to each side of the equation.
7 + -7 + -6x = -17 + -7

Combine like terms: 7 + -7 = 0
0 + -6x = -17 + -7
-6x = -17 + -7

Combine like terms: -17 + -7 = -24
-6x = -24

Divide each side by '-6'.
x = 4

Simplifying
x = 4

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