x+5=7x-61

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Solution for x+5=7x-61 equation:


Simplifying
x + 5 = 7x + -61

Reorder the terms:
5 + x = 7x + -61

Reorder the terms:
5 + x = -61 + 7x

Solving
5 + x = -61 + 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 = -61 + 7x + -7x

Combine like terms: x + -7x = -6x
5 + -6x = -61 + 7x + -7x

Combine like terms: 7x + -7x = 0
5 + -6x = -61 + 0
5 + -6x = -61

Add '-5' to each side of the equation.
5 + -5 + -6x = -61 + -5

Combine like terms: 5 + -5 = 0
0 + -6x = -61 + -5
-6x = -61 + -5

Combine like terms: -61 + -5 = -66
-6x = -66

Divide each side by '-6'.
x = 11

Simplifying
x = 11

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